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What is the Least Common Multiple of 57268 and 57272?

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 57268 and 57272 is 819963224.

LCM(57268,57272) = 819963224

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Least Common Multiple of 57268 and 57272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57268 and 57272, than apply into the LCM equation.

GCF(57268,57272) = 4
LCM(57268,57272) = ( 57268 × 57272) / 4
LCM(57268,57272) = 3279852896 / 4
LCM(57268,57272) = 819963224

Least Common Multiple (LCM) of 57268 and 57272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57268 and 57272. First we will calculate the prime factors of 57268 and 57272.

Prime Factorization of 57268

Prime factors of 57268 are 2, 103, 139. Prime factorization of 57268 in exponential form is:

57268 = 22 × 1031 × 1391

Prime Factorization of 57272

Prime factors of 57272 are 2, 7159. Prime factorization of 57272 in exponential form is:

57272 = 23 × 71591

Now multiplying the highest exponent prime factors to calculate the LCM of 57268 and 57272.

LCM(57268,57272) = 23 × 1031 × 1391 × 71591
LCM(57268,57272) = 819963224