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What is the Least Common Multiple of 2511 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 2511 and 2527 is 6345297.

LCM(2511,2527) = 6345297

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Least Common Multiple of 2511 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 2511 and 2527, than apply into the LCM equation.

GCF(2511,2527) = 1
LCM(2511,2527) = ( 2511 × 2527) / 1
LCM(2511,2527) = 6345297 / 1
LCM(2511,2527) = 6345297

Least Common Multiple (LCM) of 2511 and 2527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2511 and 2527. First we will calculate the prime factors of 2511 and 2527.

Prime Factorization of 2511

Prime factors of 2511 are 3, 31. Prime factorization of 2511 in exponential form is:

2511 = 34 × 311

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 2511 and 2527.

LCM(2511,2527) = 34 × 311 × 71 × 192
LCM(2511,2527) = 6345297