LCM the 12 and also 15 is the smallest number amongst all common multiples that 12 and also 15. The first couple of multiples that 12 and also 15 space (12, 24, 36, 48, 60, 72, 84, . . . ) and also (15, 30, 45, 60, . . . ) respectively. There are 3 typically used techniques to find LCM that 12 and also 15 - by department method, by element factorization, and also by listing multiples.

You are watching: Find the least common multiple of 15 and 12.

 1 LCM of 12 and also 15 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM the 12 and 15 is 60. Explanation:

The LCM of two non-zero integers, x(12) and also y(15), is the smallest optimistic integer m(60) that is divisible by both x(12) and y(15) without any kind of remainder.

The approaches to find the LCM of 12 and 15 are explained below.

By Listing MultiplesBy prime Factorization MethodBy division Method

### LCM that 12 and also 15 through Listing Multiples To calculate the LCM of 12 and 15 through listing out the typical multiples, we deserve to follow the given listed below steps:

Step 1: list a couple of multiples that 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and 15 (15, 30, 45, 60, . . . . )Step 2: The common multiples indigenous the multiples of 12 and also 15 room 60, 120, . . .Step 3: The smallest usual multiple the 12 and also 15 is 60.

∴ The least common multiple the 12 and 15 = 60.

### LCM of 12 and 15 by element Factorization

Prime administrate of 12 and 15 is (2 × 2 × 3) = 22 × 31 and also (3 × 5) = 31 × 51 respectively. LCM that 12 and also 15 deserve to be obtained by multiplying prime determinants raised to their respective highest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM the 12 and also 15 by prime factorization is 60.

### LCM of 12 and also 15 by department Method To calculate the LCM that 12 and 15 by the division method, we will certainly divide the numbers(12, 15) by your prime determinants (preferably common). The product of this divisors gives the LCM that 12 and 15.

Step 3: proceed the actions until just 1s space left in the last row.

The LCM that 12 and 15 is the product of all prime numbers on the left, i.e. LCM(12, 15) by division method = 2 × 2 × 3 × 5 = 60. ## FAQs ~ above LCM that 12 and 15

### What is the LCM the 12 and 15?

The LCM the 12 and 15 is 60. To find the least typical multiple (LCM) the 12 and also 15, we require to find the multiples that 12 and also 15 (multiples the 12 = 12, 24, 36, 48 . . . . 60; multiples the 15 = 15, 30, 45, 60) and choose the the smallest multiple that is specifically divisible through 12 and also 15, i.e., 60.

### Which of the following is the LCM of 12 and also 15? 36, 60, 35, 11

The worth of LCM the 12, 15 is the smallest typical multiple the 12 and also 15. The number satisfying the given condition is 60.

### If the LCM of 15 and also 12 is 60, find its GCF.

LCM(15, 12) × GCF(15, 12) = 15 × 12Since the LCM the 15 and 12 = 60⇒ 60 × GCF(15, 12) = 180Therefore, the greatest common factor = 180/60 = 3.

### How to uncover the LCM that 12 and 15 by prime Factorization?

To find the LCM of 12 and also 15 using prime factorization, us will uncover the prime factors, (12 = 2 × 2 × 3) and also (15 = 3 × 5). LCM that 12 and also 15 is the product that prime determinants raised to their respective greatest exponent amongst the number 12 and also 15.⇒ LCM of 12, 15 = 22 × 31 × 51 = 60.

See more: When Did Guy Penrod Heart Attack, Who Did Taranda Greene Married

### What is the Relation in between GCF and also LCM that 12, 15?

The complying with equation have the right to be provided to express the relation between GCF and LCM that 12 and also 15, i.e. GCF × LCM = 12 × 15.