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What is the Least Common Multiple of 13626 and 13631?

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 13626 and 13631 is 185736006.

LCM(13626,13631) = 185736006

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Least Common Multiple of 13626 and 13631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13626 and 13631, than apply into the LCM equation.

GCF(13626,13631) = 1
LCM(13626,13631) = ( 13626 × 13631) / 1
LCM(13626,13631) = 185736006 / 1
LCM(13626,13631) = 185736006

Least Common Multiple (LCM) of 13626 and 13631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13626 and 13631. First we will calculate the prime factors of 13626 and 13631.

Prime Factorization of 13626

Prime factors of 13626 are 2, 3, 757. Prime factorization of 13626 in exponential form is:

13626 = 21 × 32 × 7571

Prime Factorization of 13631

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

13631 = 431 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 13626 and 13631.

LCM(13626,13631) = 21 × 32 × 7571 × 431 × 3171
LCM(13626,13631) = 185736006