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What is the Least Common Multiple of 7502 and 7508?

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 7502 and 7508 is 28162508.

LCM(7502,7508) = 28162508

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Least Common Multiple of 7502 and 7508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7502 and 7508, than apply into the LCM equation.

GCF(7502,7508) = 2
LCM(7502,7508) = ( 7502 × 7508) / 2
LCM(7502,7508) = 56325016 / 2
LCM(7502,7508) = 28162508

Least Common Multiple (LCM) of 7502 and 7508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7502 and 7508. First we will calculate the prime factors of 7502 and 7508.

Prime Factorization of 7502

Prime factors of 7502 are 2, 11, 31. Prime factorization of 7502 in exponential form is:

7502 = 21 × 112 × 311

Prime Factorization of 7508

Prime factors of 7508 are 2, 1877. Prime factorization of 7508 in exponential form is:

7508 = 22 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 7502 and 7508.

LCM(7502,7508) = 22 × 112 × 311 × 18771
LCM(7502,7508) = 28162508