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What is the Least Common Multiple of 3108 and 3124?

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 3124 is 2427348.

LCM(3108,3124) = 2427348

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Least Common Multiple of 3108 and 3124 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 3124, than apply into the LCM equation.

GCF(3108,3124) = 4
LCM(3108,3124) = ( 3108 × 3124) / 4
LCM(3108,3124) = 9709392 / 4
LCM(3108,3124) = 2427348

Least Common Multiple (LCM) of 3108 and 3124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3108 and 3124. First we will calculate the prime factors of 3108 and 3124.

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 3124

Prime factors of 3124 are 2, 11, 71. Prime factorization of 3124 in exponential form is:

3124 = 22 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 3108 and 3124.

LCM(3108,3124) = 22 × 31 × 71 × 371 × 111 × 711
LCM(3108,3124) = 2427348