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What is the Least Common Multiple of 2514 and 2528?

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 2514 and 2528 is 3177696.

LCM(2514,2528) = 3177696

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Least Common Multiple of 2514 and 2528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2514 and 2528, than apply into the LCM equation.

GCF(2514,2528) = 2
LCM(2514,2528) = ( 2514 × 2528) / 2
LCM(2514,2528) = 6355392 / 2
LCM(2514,2528) = 3177696

Least Common Multiple (LCM) of 2514 and 2528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2514 and 2528. First we will calculate the prime factors of 2514 and 2528.

Prime Factorization of 2514

Prime factors of 2514 are 2, 3, 419. Prime factorization of 2514 in exponential form is:

2514 = 21 × 31 × 4191

Prime Factorization of 2528

Prime factors of 2528 are 2, 79. Prime factorization of 2528 in exponential form is:

2528 = 25 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 2514 and 2528.

LCM(2514,2528) = 25 × 31 × 4191 × 791
LCM(2514,2528) = 3177696