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What is the Least Common Multiple of 57150 and 57157?

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 57150 and 57157 is 3266522550.

LCM(57150,57157) = 3266522550

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Least Common Multiple of 57150 and 57157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57150 and 57157, than apply into the LCM equation.

GCF(57150,57157) = 1
LCM(57150,57157) = ( 57150 × 57157) / 1
LCM(57150,57157) = 3266522550 / 1
LCM(57150,57157) = 3266522550

Least Common Multiple (LCM) of 57150 and 57157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57150 and 57157. First we will calculate the prime factors of 57150 and 57157.

Prime Factorization of 57150

Prime factors of 57150 are 2, 3, 5, 127. Prime factorization of 57150 in exponential form is:

57150 = 21 × 32 × 52 × 1271

Prime Factorization of 57157

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

57157 = 611 × 9371

Now multiplying the highest exponent prime factors to calculate the LCM of 57150 and 57157.

LCM(57150,57157) = 21 × 32 × 52 × 1271 × 611 × 9371
LCM(57150,57157) = 3266522550