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What is the Least Common Multiple of 52272 and 52287?

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 52272 and 52287 is 911048688.

LCM(52272,52287) = 911048688

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Least Common Multiple of 52272 and 52287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52272 and 52287, than apply into the LCM equation.

GCF(52272,52287) = 3
LCM(52272,52287) = ( 52272 × 52287) / 3
LCM(52272,52287) = 2733146064 / 3
LCM(52272,52287) = 911048688

Least Common Multiple (LCM) of 52272 and 52287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52272 and 52287. First we will calculate the prime factors of 52272 and 52287.

Prime Factorization of 52272

Prime factors of 52272 are 2, 3, 11. Prime factorization of 52272 in exponential form is:

52272 = 24 × 33 × 112

Prime Factorization of 52287

Prime factors of 52287 are 3, 29, 601. Prime factorization of 52287 in exponential form is:

52287 = 31 × 291 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 52272 and 52287.

LCM(52272,52287) = 24 × 33 × 112 × 291 × 6011
LCM(52272,52287) = 911048688