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What is the Least Common Multiple of 22136 and 22146?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 22136 and 22146 is 245111928.

LCM(22136,22146) = 245111928

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Least Common Multiple of 22136 and 22146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22136 and 22146, than apply into the LCM equation.

GCF(22136,22146) = 2
LCM(22136,22146) = ( 22136 × 22146) / 2
LCM(22136,22146) = 490223856 / 2
LCM(22136,22146) = 245111928

Least Common Multiple (LCM) of 22136 and 22146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22136 and 22146. First we will calculate the prime factors of 22136 and 22146.

Prime Factorization of 22136

Prime factors of 22136 are 2, 2767. Prime factorization of 22136 in exponential form is:

22136 = 23 × 27671

Prime Factorization of 22146

Prime factors of 22146 are 2, 3, 3691. Prime factorization of 22146 in exponential form is:

22146 = 21 × 31 × 36911

Now multiplying the highest exponent prime factors to calculate the LCM of 22136 and 22146.

LCM(22136,22146) = 23 × 27671 × 31 × 36911
LCM(22136,22146) = 245111928