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What is the Least Common Multiple of 57338 and 57344?

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 57344 is 1643995136.

LCM(57338,57344) = 1643995136

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Least Common Multiple of 57338 and 57344 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 57344, than apply into the LCM equation.

GCF(57338,57344) = 2
LCM(57338,57344) = ( 57338 × 57344) / 2
LCM(57338,57344) = 3287990272 / 2
LCM(57338,57344) = 1643995136

Least Common Multiple (LCM) of 57338 and 57344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57338 and 57344. First we will calculate the prime factors of 57338 and 57344.

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 57344

Prime factors of 57344 are 2, 7. Prime factorization of 57344 in exponential form is:

57344 = 213 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 57338 and 57344.

LCM(57338,57344) = 213 × 286691 × 71
LCM(57338,57344) = 1643995136