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What is the Least Common Multiple of 52718 and 52727?

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 52718 and 52727 is 2779661986.

LCM(52718,52727) = 2779661986

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Least Common Multiple of 52718 and 52727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52718 and 52727, than apply into the LCM equation.

GCF(52718,52727) = 1
LCM(52718,52727) = ( 52718 × 52727) / 1
LCM(52718,52727) = 2779661986 / 1
LCM(52718,52727) = 2779661986

Least Common Multiple (LCM) of 52718 and 52727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52718 and 52727. First we will calculate the prime factors of 52718 and 52727.

Prime Factorization of 52718

Prime factors of 52718 are 2, 43, 613. Prime factorization of 52718 in exponential form is:

52718 = 21 × 431 × 6131

Prime Factorization of 52727

Prime factors of 52727 are 52727. Prime factorization of 52727 in exponential form is:

52727 = 527271

Now multiplying the highest exponent prime factors to calculate the LCM of 52718 and 52727.

LCM(52718,52727) = 21 × 431 × 6131 × 527271
LCM(52718,52727) = 2779661986