GCF and LCM Calculator Logo

What is the Least Common Multiple of 7577 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 7577 and 7595 is 57547315.

LCM(7577,7595) = 57547315

LCM Calculator and
and

Least Common Multiple of 7577 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 7577 and 7595, than apply into the LCM equation.

GCF(7577,7595) = 1
LCM(7577,7595) = ( 7577 × 7595) / 1
LCM(7577,7595) = 57547315 / 1
LCM(7577,7595) = 57547315

Least Common Multiple (LCM) of 7577 and 7595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7577 and 7595. First we will calculate the prime factors of 7577 and 7595.

Prime Factorization of 7577

Prime factors of 7577 are 7577. Prime factorization of 7577 in exponential form is:

7577 = 75771

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 7577 and 7595.

LCM(7577,7595) = 75771 × 51 × 72 × 311
LCM(7577,7595) = 57547315