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What is the Least Common Multiple of 2498 and 2509?

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 2498 and 2509 is 6267482.

LCM(2498,2509) = 6267482

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Least Common Multiple of 2498 and 2509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2498 and 2509, than apply into the LCM equation.

GCF(2498,2509) = 1
LCM(2498,2509) = ( 2498 × 2509) / 1
LCM(2498,2509) = 6267482 / 1
LCM(2498,2509) = 6267482

Least Common Multiple (LCM) of 2498 and 2509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2498 and 2509. First we will calculate the prime factors of 2498 and 2509.

Prime Factorization of 2498

Prime factors of 2498 are 2, 1249. Prime factorization of 2498 in exponential form is:

2498 = 21 × 12491

Prime Factorization of 2509

Prime factors of 2509 are 13, 193. Prime factorization of 2509 in exponential form is:

2509 = 131 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 2498 and 2509.

LCM(2498,2509) = 21 × 12491 × 131 × 1931
LCM(2498,2509) = 6267482