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What is the Least Common Multiple of 2491 and 2508?

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 2491 and 2508 is 6247428.

LCM(2491,2508) = 6247428

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Least Common Multiple of 2491 and 2508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2491 and 2508, than apply into the LCM equation.

GCF(2491,2508) = 1
LCM(2491,2508) = ( 2491 × 2508) / 1
LCM(2491,2508) = 6247428 / 1
LCM(2491,2508) = 6247428

Least Common Multiple (LCM) of 2491 and 2508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2491 and 2508. First we will calculate the prime factors of 2491 and 2508.

Prime Factorization of 2491

Prime factors of 2491 are 47, 53. Prime factorization of 2491 in exponential form is:

2491 = 471 × 531

Prime Factorization of 2508

Prime factors of 2508 are 2, 3, 11, 19. Prime factorization of 2508 in exponential form is:

2508 = 22 × 31 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 2491 and 2508.

LCM(2491,2508) = 471 × 531 × 22 × 31 × 111 × 191
LCM(2491,2508) = 6247428