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What is the Least Common Multiple of 7494 and 7501?

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 7494 and 7501 is 56212494.

LCM(7494,7501) = 56212494

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Least Common Multiple of 7494 and 7501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7494 and 7501, than apply into the LCM equation.

GCF(7494,7501) = 1
LCM(7494,7501) = ( 7494 × 7501) / 1
LCM(7494,7501) = 56212494 / 1
LCM(7494,7501) = 56212494

Least Common Multiple (LCM) of 7494 and 7501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7494 and 7501. First we will calculate the prime factors of 7494 and 7501.

Prime Factorization of 7494

Prime factors of 7494 are 2, 3, 1249. Prime factorization of 7494 in exponential form is:

7494 = 21 × 31 × 12491

Prime Factorization of 7501

Prime factors of 7501 are 13, 577. Prime factorization of 7501 in exponential form is:

7501 = 131 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 7494 and 7501.

LCM(7494,7501) = 21 × 31 × 12491 × 131 × 5771
LCM(7494,7501) = 56212494