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What is the Least Common Multiple of 57338 and 57351?

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 57338 and 57351 is 3288391638.

LCM(57338,57351) = 3288391638

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Least Common Multiple of 57338 and 57351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57338 and 57351, than apply into the LCM equation.

GCF(57338,57351) = 1
LCM(57338,57351) = ( 57338 × 57351) / 1
LCM(57338,57351) = 3288391638 / 1
LCM(57338,57351) = 3288391638

Least Common Multiple (LCM) of 57338 and 57351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57338 and 57351. First we will calculate the prime factors of 57338 and 57351.

Prime Factorization of 57338

Prime factors of 57338 are 2, 28669. Prime factorization of 57338 in exponential form is:

57338 = 21 × 286691

Prime Factorization of 57351

Prime factors of 57351 are 3, 7, 2731. Prime factorization of 57351 in exponential form is:

57351 = 31 × 71 × 27311

Now multiplying the highest exponent prime factors to calculate the LCM of 57338 and 57351.

LCM(57338,57351) = 21 × 286691 × 31 × 71 × 27311
LCM(57338,57351) = 3288391638