LCM the 12 and also 16 is the smallest number amongst all usual multiples of 12 and also 16. The first few multiples the 12 and 16 are (12, 24, 36, 48, 60, 72, . . . ) and (16, 32, 48, 64, 80, 96, 112, . . . ) respectively. There are 3 generally used approaches to uncover LCM the 12 and also 16 - by element factorization, by listing multiples, and also by department method.

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 1 LCM the 12 and also 16 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM the 12 and 16 is 48.

Explanation:

The LCM of 2 non-zero integers, x(12) and y(16), is the smallest confident integer m(48) the is divisible by both x(12) and y(16) without any remainder.

Let's look at the various methods for finding the LCM of 12 and also 16.

By Listing MultiplesBy department MethodBy element Factorization Method

### LCM the 12 and also 16 by Listing Multiples

To calculate the LCM the 12 and 16 by listing out the usual multiples, we deserve to follow the given below steps:

Step 1: list a few multiples of 12 (12, 24, 36, 48, 60, 72, . . . ) and also 16 (16, 32, 48, 64, 80, 96, 112, . . . . )Step 2: The usual multiples native the multiples the 12 and 16 are 48, 96, . . .Step 3: The smallest common multiple the 12 and 16 is 48.

∴ The least typical multiple the 12 and 16 = 48.

### LCM that 12 and 16 by department Method

To calculate the LCM the 12 and 16 by the department method, we will certainly divide the numbers(12, 16) by your prime determinants (preferably common). The product of these divisors gives the LCM that 12 and 16.

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

The LCM the 12 and also 16 is the product of every prime number on the left, i.e. LCM(12, 16) by division method = 2 × 2 × 2 × 2 × 3 = 48.

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### LCM the 12 and 16 by prime Factorization

Prime administer of 12 and 16 is (2 × 2 × 3) = 22 × 31 and (2 × 2 × 2 × 2) = 24 respectively. LCM of 12 and 16 can be obtained by multiplying prime determinants raised to your respective greatest power, i.e. 24 × 31 = 48.Hence, the LCM that 12 and 16 by prime factorization is 48.