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What is the Least Common Multiple of 57248 and 57264?

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 57248 and 57264 is 204890592.

LCM(57248,57264) = 204890592

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Least Common Multiple of 57248 and 57264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57248 and 57264, than apply into the LCM equation.

GCF(57248,57264) = 16
LCM(57248,57264) = ( 57248 × 57264) / 16
LCM(57248,57264) = 3278249472 / 16
LCM(57248,57264) = 204890592

Least Common Multiple (LCM) of 57248 and 57264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57248 and 57264. First we will calculate the prime factors of 57248 and 57264.

Prime Factorization of 57248

Prime factors of 57248 are 2, 1789. Prime factorization of 57248 in exponential form is:

57248 = 25 × 17891

Prime Factorization of 57264

Prime factors of 57264 are 2, 3, 1193. Prime factorization of 57264 in exponential form is:

57264 = 24 × 31 × 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 57248 and 57264.

LCM(57248,57264) = 25 × 17891 × 31 × 11931
LCM(57248,57264) = 204890592