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What is the Least Common Multiple of 2497 and 2507?

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 2497 and 2507 is 6259979.

LCM(2497,2507) = 6259979

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Least Common Multiple of 2497 and 2507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2497 and 2507, than apply into the LCM equation.

GCF(2497,2507) = 1
LCM(2497,2507) = ( 2497 × 2507) / 1
LCM(2497,2507) = 6259979 / 1
LCM(2497,2507) = 6259979

Least Common Multiple (LCM) of 2497 and 2507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2497 and 2507. First we will calculate the prime factors of 2497 and 2507.

Prime Factorization of 2497

Prime factors of 2497 are 11, 227. Prime factorization of 2497 in exponential form is:

2497 = 111 × 2271

Prime Factorization of 2507

Prime factors of 2507 are 23, 109. Prime factorization of 2507 in exponential form is:

2507 = 231 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2497 and 2507.

LCM(2497,2507) = 111 × 2271 × 231 × 1091
LCM(2497,2507) = 6259979