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What is the Least Common Multiple of 3108 and 3128?

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 3128 is 2430456.

LCM(3108,3128) = 2430456

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Least Common Multiple of 3108 and 3128 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 3128, than apply into the LCM equation.

GCF(3108,3128) = 4
LCM(3108,3128) = ( 3108 × 3128) / 4
LCM(3108,3128) = 9721824 / 4
LCM(3108,3128) = 2430456

Least Common Multiple (LCM) of 3108 and 3128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3108 and 3128. First we will calculate the prime factors of 3108 and 3128.

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 3128

Prime factors of 3128 are 2, 17, 23. Prime factorization of 3128 in exponential form is:

3128 = 23 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 3108 and 3128.

LCM(3108,3128) = 23 × 31 × 71 × 371 × 171 × 231
LCM(3108,3128) = 2430456