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What is the Least Common Multiple of 57157 and 57169?

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 57157 and 57169 is 3267608533.

LCM(57157,57169) = 3267608533

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Least Common Multiple of 57157 and 57169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57157 and 57169, than apply into the LCM equation.

GCF(57157,57169) = 1
LCM(57157,57169) = ( 57157 × 57169) / 1
LCM(57157,57169) = 3267608533 / 1
LCM(57157,57169) = 3267608533

Least Common Multiple (LCM) of 57157 and 57169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57157 and 57169. First we will calculate the prime factors of 57157 and 57169.

Prime Factorization of 57157

Prime factors of 57157 are 61, 937. Prime factorization of 57157 in exponential form is:

57157 = 611 × 9371

Prime Factorization of 57169

Prime factors of 57169 are 7, 8167. Prime factorization of 57169 in exponential form is:

57169 = 71 × 81671

Now multiplying the highest exponent prime factors to calculate the LCM of 57157 and 57169.

LCM(57157,57169) = 611 × 9371 × 71 × 81671
LCM(57157,57169) = 3267608533