LCM of 11 and also 12 is the the smallest number amongst all usual multiples of 11 and 12. The first few multiples of 11 and also 12 space (11, 22, 33, 44, 55, 66, 77, . . . ) and (12, 24, 36, 48, 60, . . . ) respectively. There space 3 frequently used methods to uncover LCM of 11 and 12 - by element factorization, by division method, and also by listing multiples.

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1.LCM the 11 and also 12
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM that 11 and 12 is 132.

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Explanation:

The LCM of two non-zero integers, x(11) and y(12), is the smallest positive integer m(132) the is divisible by both x(11) and y(12) without any type of remainder.


The methods to discover the LCM of 11 and also 12 are described below.

By division MethodBy Listing MultiplesBy prime Factorization Method

LCM that 11 and 12 by department Method

To calculate the LCM the 11 and 12 by the department method, we will certainly divide the numbers(11, 12) by their prime components (preferably common). The product of these divisors offers the LCM that 11 and 12.

Step 3: proceed the actions until only 1s room left in the last row.

The LCM that 11 and also 12 is the product of every prime number on the left, i.e. LCM(11, 12) by division method = 2 × 2 × 3 × 11 = 132.

LCM that 11 and also 12 by Listing Multiples

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To calculate the LCM that 11 and also 12 by listing the end the common multiples, we have the right to follow the given below steps:

Step 1: perform a few multiples the 11 (11, 22, 33, 44, 55, 66, 77, . . . ) and also 12 (12, 24, 36, 48, 60, . . . . )Step 2: The usual multiples from the multiples that 11 and also 12 room 132, 264, . . .Step 3: The smallest usual multiple the 11 and also 12 is 132.

∴ The least usual multiple the 11 and 12 = 132.

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LCM that 11 and also 12 by prime Factorization

Prime administrate of 11 and 12 is (11) = 111 and also (2 × 2 × 3) = 22 × 31 respectively. LCM the 11 and 12 have the right to be obtained by multiply prime determinants raised to your respective highest possible power, i.e. 22 × 31 × 111 = 132.Hence, the LCM the 11 and also 12 by element factorization is 132.