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What is the Least Common Multiple of 55637 and 55657?

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 55637 and 55657 is 3096588509.

LCM(55637,55657) = 3096588509

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Least Common Multiple of 55637 and 55657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55637 and 55657, than apply into the LCM equation.

GCF(55637,55657) = 1
LCM(55637,55657) = ( 55637 × 55657) / 1
LCM(55637,55657) = 3096588509 / 1
LCM(55637,55657) = 3096588509

Least Common Multiple (LCM) of 55637 and 55657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55637 and 55657. First we will calculate the prime factors of 55637 and 55657.

Prime Factorization of 55637

Prime factors of 55637 are 23, 41, 59. Prime factorization of 55637 in exponential form is:

55637 = 231 × 411 × 591

Prime Factorization of 55657

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

55657 = 71 × 79511

Now multiplying the highest exponent prime factors to calculate the LCM of 55637 and 55657.

LCM(55637,55657) = 231 × 411 × 591 × 71 × 79511
LCM(55637,55657) = 3096588509