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What is the Least Common Multiple of 57157 and 57176?

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 57176 is 3268008632.

LCM(57157,57176) = 3268008632

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Least Common Multiple of 57157 and 57176 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 57176, than apply into the LCM equation.

GCF(57157,57176) = 1
LCM(57157,57176) = ( 57157 × 57176) / 1
LCM(57157,57176) = 3268008632 / 1
LCM(57157,57176) = 3268008632

Least Common Multiple (LCM) of 57157 and 57176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57157 and 57176. First we will calculate the prime factors of 57157 and 57176.

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 57176

Prime factors of 57176 are 2, 7, 1021. Prime factorization of 57176 in exponential form is:

57176 = 23 × 71 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 57157 and 57176.

LCM(57157,57176) = 611 × 9371 × 23 × 71 × 10211
LCM(57157,57176) = 3268008632