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What is the Least Common Multiple of 3108 and 3115?

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 3108 and 3115 is 1383060.

LCM(3108,3115) = 1383060

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Least Common Multiple of 3108 and 3115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3108 and 3115, than apply into the LCM equation.

GCF(3108,3115) = 7
LCM(3108,3115) = ( 3108 × 3115) / 7
LCM(3108,3115) = 9681420 / 7
LCM(3108,3115) = 1383060

Least Common Multiple (LCM) of 3108 and 3115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3108 and 3115. First we will calculate the prime factors of 3108 and 3115.

Prime Factorization of 3108

Prime factors of 3108 are 2, 3, 7, 37. Prime factorization of 3108 in exponential form is:

3108 = 22 × 31 × 71 × 371

Prime Factorization of 3115

Prime factors of 3115 are 5, 7, 89. Prime factorization of 3115 in exponential form is:

3115 = 51 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3108 and 3115.

LCM(3108,3115) = 22 × 31 × 71 × 371 × 51 × 891
LCM(3108,3115) = 1383060