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What is the Least Common Multiple of 55657 and 55670?

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 55670 is 3098425190.

LCM(55657,55670) = 3098425190

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Least Common Multiple of 55657 and 55670 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 55670, than apply into the LCM equation.

GCF(55657,55670) = 1
LCM(55657,55670) = ( 55657 × 55670) / 1
LCM(55657,55670) = 3098425190 / 1
LCM(55657,55670) = 3098425190

Least Common Multiple (LCM) of 55657 and 55670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55657 and 55670. First we will calculate the prime factors of 55657 and 55670.

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 55670

Prime factors of 55670 are 2, 5, 19, 293. Prime factorization of 55670 in exponential form is:

55670 = 21 × 51 × 191 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 55657 and 55670.

LCM(55657,55670) = 71 × 79511 × 21 × 51 × 191 × 2931
LCM(55657,55670) = 3098425190