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What is the Least Common Multiple of 55657 and 55676?

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 55657 and 55676 is 3098759132.

LCM(55657,55676) = 3098759132

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Least Common Multiple of 55657 and 55676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55657 and 55676, than apply into the LCM equation.

GCF(55657,55676) = 1
LCM(55657,55676) = ( 55657 × 55676) / 1
LCM(55657,55676) = 3098759132 / 1
LCM(55657,55676) = 3098759132

Least Common Multiple (LCM) of 55657 and 55676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55657 and 55676. First we will calculate the prime factors of 55657 and 55676.

Prime Factorization of 55657

Prime factors of 55657 are 7, 7951. Prime factorization of 55657 in exponential form is:

55657 = 71 × 79511

Prime Factorization of 55676

Prime factors of 55676 are 2, 31, 449. Prime factorization of 55676 in exponential form is:

55676 = 22 × 311 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 55657 and 55676.

LCM(55657,55676) = 71 × 79511 × 22 × 311 × 4491
LCM(55657,55676) = 3098759132