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What is the Least Common Multiple of 7504 and 7517?

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 7504 and 7517 is 56407568.

LCM(7504,7517) = 56407568

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Least Common Multiple of 7504 and 7517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7504 and 7517, than apply into the LCM equation.

GCF(7504,7517) = 1
LCM(7504,7517) = ( 7504 × 7517) / 1
LCM(7504,7517) = 56407568 / 1
LCM(7504,7517) = 56407568

Least Common Multiple (LCM) of 7504 and 7517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7504 and 7517. First we will calculate the prime factors of 7504 and 7517.

Prime Factorization of 7504

Prime factors of 7504 are 2, 7, 67. Prime factorization of 7504 in exponential form is:

7504 = 24 × 71 × 671

Prime Factorization of 7517

Prime factors of 7517 are 7517. Prime factorization of 7517 in exponential form is:

7517 = 75171

Now multiplying the highest exponent prime factors to calculate the LCM of 7504 and 7517.

LCM(7504,7517) = 24 × 71 × 671 × 75171
LCM(7504,7517) = 56407568