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What is the Least Common Multiple of 57316 and 57336?

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 57316 and 57336 is 821567544.

LCM(57316,57336) = 821567544

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Least Common Multiple of 57316 and 57336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57316 and 57336, than apply into the LCM equation.

GCF(57316,57336) = 4
LCM(57316,57336) = ( 57316 × 57336) / 4
LCM(57316,57336) = 3286270176 / 4
LCM(57316,57336) = 821567544

Least Common Multiple (LCM) of 57316 and 57336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57316 and 57336. First we will calculate the prime factors of 57316 and 57336.

Prime Factorization of 57316

Prime factors of 57316 are 2, 7, 23, 89. Prime factorization of 57316 in exponential form is:

57316 = 22 × 71 × 231 × 891

Prime Factorization of 57336

Prime factors of 57336 are 2, 3, 2389. Prime factorization of 57336 in exponential form is:

57336 = 23 × 31 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 57316 and 57336.

LCM(57316,57336) = 23 × 71 × 231 × 891 × 31 × 23891
LCM(57316,57336) = 821567544