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What is the Least Common Multiple of 57518 and 57527?

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 57518 and 57527 is 3308837986.

LCM(57518,57527) = 3308837986

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Least Common Multiple of 57518 and 57527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57518 and 57527, than apply into the LCM equation.

GCF(57518,57527) = 1
LCM(57518,57527) = ( 57518 × 57527) / 1
LCM(57518,57527) = 3308837986 / 1
LCM(57518,57527) = 3308837986

Least Common Multiple (LCM) of 57518 and 57527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57518 and 57527. First we will calculate the prime factors of 57518 and 57527.

Prime Factorization of 57518

Prime factors of 57518 are 2, 28759. Prime factorization of 57518 in exponential form is:

57518 = 21 × 287591

Prime Factorization of 57527

Prime factors of 57527 are 57527. Prime factorization of 57527 in exponential form is:

57527 = 575271

Now multiplying the highest exponent prime factors to calculate the LCM of 57518 and 57527.

LCM(57518,57527) = 21 × 287591 × 575271
LCM(57518,57527) = 3308837986