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What is the Least Common Multiple of 7517 and 7530?

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 7517 and 7530 is 56603010.

LCM(7517,7530) = 56603010

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Least Common Multiple of 7517 and 7530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7517 and 7530, than apply into the LCM equation.

GCF(7517,7530) = 1
LCM(7517,7530) = ( 7517 × 7530) / 1
LCM(7517,7530) = 56603010 / 1
LCM(7517,7530) = 56603010

Least Common Multiple (LCM) of 7517 and 7530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7517 and 7530. First we will calculate the prime factors of 7517 and 7530.

Prime Factorization of 7517

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

7517 = 75171

Prime Factorization of 7530

Prime factors of 7530 are 2, 3, 5, 251. Prime factorization of 7530 in exponential form is:

7530 = 21 × 31 × 51 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 7517 and 7530.

LCM(7517,7530) = 75171 × 21 × 31 × 51 × 2511
LCM(7517,7530) = 56603010