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What is the Least Common Multiple of 2516 and 2527?

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 2516 and 2527 is 6357932.

LCM(2516,2527) = 6357932

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Least Common Multiple of 2516 and 2527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2516 and 2527, than apply into the LCM equation.

GCF(2516,2527) = 1
LCM(2516,2527) = ( 2516 × 2527) / 1
LCM(2516,2527) = 6357932 / 1
LCM(2516,2527) = 6357932

Least Common Multiple (LCM) of 2516 and 2527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2516 and 2527. First we will calculate the prime factors of 2516 and 2527.

Prime Factorization of 2516

Prime factors of 2516 are 2, 17, 37. Prime factorization of 2516 in exponential form is:

2516 = 22 × 171 × 371

Prime Factorization of 2527

Prime factors of 2527 are 7, 19. Prime factorization of 2527 in exponential form is:

2527 = 71 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 2516 and 2527.

LCM(2516,2527) = 22 × 171 × 371 × 71 × 192
LCM(2516,2527) = 6357932