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What is the Least Common Multiple of 13631 and 13646?

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 13631 and 13646 is 186008626.

LCM(13631,13646) = 186008626

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Least Common Multiple of 13631 and 13646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13631 and 13646, than apply into the LCM equation.

GCF(13631,13646) = 1
LCM(13631,13646) = ( 13631 × 13646) / 1
LCM(13631,13646) = 186008626 / 1
LCM(13631,13646) = 186008626

Least Common Multiple (LCM) of 13631 and 13646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13631 and 13646. First we will calculate the prime factors of 13631 and 13646.

Prime Factorization of 13631

Prime factors of 13631 are 43, 317. Prime factorization of 13631 in exponential form is:

13631 = 431 × 3171

Prime Factorization of 13646

Prime factors of 13646 are 2, 6823. Prime factorization of 13646 in exponential form is:

13646 = 21 × 68231

Now multiplying the highest exponent prime factors to calculate the LCM of 13631 and 13646.

LCM(13631,13646) = 431 × 3171 × 21 × 68231
LCM(13631,13646) = 186008626