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What is the Least Common Multiple of 2492 and 2497?

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 2492 and 2497 is 6222524.

LCM(2492,2497) = 6222524

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Least Common Multiple of 2492 and 2497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2492 and 2497, than apply into the LCM equation.

GCF(2492,2497) = 1
LCM(2492,2497) = ( 2492 × 2497) / 1
LCM(2492,2497) = 6222524 / 1
LCM(2492,2497) = 6222524

Least Common Multiple (LCM) of 2492 and 2497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2492 and 2497. First we will calculate the prime factors of 2492 and 2497.

Prime Factorization of 2492

Prime factors of 2492 are 2, 7, 89. Prime factorization of 2492 in exponential form is:

2492 = 22 × 71 × 891

Prime Factorization of 2497

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

2497 = 111 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2492 and 2497.

LCM(2492,2497) = 22 × 71 × 891 × 111 × 2271
LCM(2492,2497) = 6222524