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What is the Least Common Multiple of 7589 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 7589 and 7595 is 57638455.

LCM(7589,7595) = 57638455

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Least Common Multiple of 7589 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 7589 and 7595, than apply into the LCM equation.

GCF(7589,7595) = 1
LCM(7589,7595) = ( 7589 × 7595) / 1
LCM(7589,7595) = 57638455 / 1
LCM(7589,7595) = 57638455

Least Common Multiple (LCM) of 7589 and 7595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7589 and 7595. First we will calculate the prime factors of 7589 and 7595.

Prime Factorization of 7589

Prime factors of 7589 are 7589. Prime factorization of 7589 in exponential form is:

7589 = 75891

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 7589 and 7595.

LCM(7589,7595) = 75891 × 51 × 72 × 311
LCM(7589,7595) = 57638455