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What is the Least Common Multiple of 7617 and 7635?

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 7617 and 7635 is 19385265.

LCM(7617,7635) = 19385265

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Least Common Multiple of 7617 and 7635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7617 and 7635, than apply into the LCM equation.

GCF(7617,7635) = 3
LCM(7617,7635) = ( 7617 × 7635) / 3
LCM(7617,7635) = 58155795 / 3
LCM(7617,7635) = 19385265

Least Common Multiple (LCM) of 7617 and 7635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7617 and 7635. First we will calculate the prime factors of 7617 and 7635.

Prime Factorization of 7617

Prime factors of 7617 are 3, 2539. Prime factorization of 7617 in exponential form is:

7617 = 31 × 25391

Prime Factorization of 7635

Prime factors of 7635 are 3, 5, 509. Prime factorization of 7635 in exponential form is:

7635 = 31 × 51 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 7617 and 7635.

LCM(7617,7635) = 31 × 25391 × 51 × 5091
LCM(7617,7635) = 19385265