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What is the Least Common Multiple of 5657 and 5677?

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 5657 and 5677 is 32114789.

LCM(5657,5677) = 32114789

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Least Common Multiple of 5657 and 5677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5657 and 5677, than apply into the LCM equation.

GCF(5657,5677) = 1
LCM(5657,5677) = ( 5657 × 5677) / 1
LCM(5657,5677) = 32114789 / 1
LCM(5657,5677) = 32114789

Least Common Multiple (LCM) of 5657 and 5677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5657 and 5677. First we will calculate the prime factors of 5657 and 5677.

Prime Factorization of 5657

Prime factors of 5657 are 5657. Prime factorization of 5657 in exponential form is:

5657 = 56571

Prime Factorization of 5677

Prime factors of 5677 are 7, 811. Prime factorization of 5677 in exponential form is:

5677 = 71 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 5657 and 5677.

LCM(5657,5677) = 56571 × 71 × 8111
LCM(5657,5677) = 32114789