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What is the Least Common Multiple of 37107 and 37113?

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 37107 and 37113 is 459050697.

LCM(37107,37113) = 459050697

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Least Common Multiple of 37107 and 37113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37107 and 37113, than apply into the LCM equation.

GCF(37107,37113) = 3
LCM(37107,37113) = ( 37107 × 37113) / 3
LCM(37107,37113) = 1377152091 / 3
LCM(37107,37113) = 459050697

Least Common Multiple (LCM) of 37107 and 37113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37107 and 37113. First we will calculate the prime factors of 37107 and 37113.

Prime Factorization of 37107

Prime factors of 37107 are 3, 7, 19, 31. Prime factorization of 37107 in exponential form is:

37107 = 32 × 71 × 191 × 311

Prime Factorization of 37113

Prime factors of 37113 are 3, 89, 139. Prime factorization of 37113 in exponential form is:

37113 = 31 × 891 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 37107 and 37113.

LCM(37107,37113) = 32 × 71 × 191 × 311 × 891 × 1391
LCM(37107,37113) = 459050697