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What is the Least Common Multiple of 7495 and 7502?

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 7495 and 7502 is 56227490.

LCM(7495,7502) = 56227490

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Least Common Multiple of 7495 and 7502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7495 and 7502, than apply into the LCM equation.

GCF(7495,7502) = 1
LCM(7495,7502) = ( 7495 × 7502) / 1
LCM(7495,7502) = 56227490 / 1
LCM(7495,7502) = 56227490

Least Common Multiple (LCM) of 7495 and 7502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7495 and 7502. First we will calculate the prime factors of 7495 and 7502.

Prime Factorization of 7495

Prime factors of 7495 are 5, 1499. Prime factorization of 7495 in exponential form is:

7495 = 51 × 14991

Prime Factorization of 7502

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

7502 = 21 × 112 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7495 and 7502.

LCM(7495,7502) = 51 × 14991 × 21 × 112 × 311
LCM(7495,7502) = 56227490