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What is the Least Common Multiple of 7580 and 7595?

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 7580 and 7595 is 11514020.

LCM(7580,7595) = 11514020

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Least Common Multiple of 7580 and 7595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7580 and 7595, than apply into the LCM equation.

GCF(7580,7595) = 5
LCM(7580,7595) = ( 7580 × 7595) / 5
LCM(7580,7595) = 57570100 / 5
LCM(7580,7595) = 11514020

Least Common Multiple (LCM) of 7580 and 7595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7580 and 7595. First we will calculate the prime factors of 7580 and 7595.

Prime Factorization of 7580

Prime factors of 7580 are 2, 5, 379. Prime factorization of 7580 in exponential form is:

7580 = 22 × 51 × 3791

Prime Factorization of 7595

Prime factors of 7595 are 5, 7, 31. Prime factorization of 7595 in exponential form is:

7595 = 51 × 72 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7580 and 7595.

LCM(7580,7595) = 22 × 51 × 3791 × 72 × 311
LCM(7580,7595) = 11514020