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What is the Least Common Multiple of 57171 and 57178?

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 57171 and 57178 is 3268923438.

LCM(57171,57178) = 3268923438

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Least Common Multiple of 57171 and 57178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57171 and 57178, than apply into the LCM equation.

GCF(57171,57178) = 1
LCM(57171,57178) = ( 57171 × 57178) / 1
LCM(57171,57178) = 3268923438 / 1
LCM(57171,57178) = 3268923438

Least Common Multiple (LCM) of 57171 and 57178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57171 and 57178. First we will calculate the prime factors of 57171 and 57178.

Prime Factorization of 57171

Prime factors of 57171 are 3, 17, 19, 59. Prime factorization of 57171 in exponential form is:

57171 = 31 × 171 × 191 × 591

Prime Factorization of 57178

Prime factors of 57178 are 2, 11, 23, 113. Prime factorization of 57178 in exponential form is:

57178 = 21 × 111 × 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 57171 and 57178.

LCM(57171,57178) = 31 × 171 × 191 × 591 × 21 × 111 × 231 × 1131
LCM(57171,57178) = 3268923438