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What is the Least Common Multiple of 57272 and 57276?

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 57272 and 57276 is 820077768.

LCM(57272,57276) = 820077768

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Least Common Multiple of 57272 and 57276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57272 and 57276, than apply into the LCM equation.

GCF(57272,57276) = 4
LCM(57272,57276) = ( 57272 × 57276) / 4
LCM(57272,57276) = 3280311072 / 4
LCM(57272,57276) = 820077768

Least Common Multiple (LCM) of 57272 and 57276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57272 and 57276. First we will calculate the prime factors of 57272 and 57276.

Prime Factorization of 57272

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

57272 = 23 × 71591

Prime Factorization of 57276

Prime factors of 57276 are 2, 3, 37, 43. Prime factorization of 57276 in exponential form is:

57276 = 22 × 32 × 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 57272 and 57276.

LCM(57272,57276) = 23 × 71591 × 32 × 371 × 431
LCM(57272,57276) = 820077768