GCF and LCM Calculator Logo

What is the Least Common Multiple of 7585 and 7604?

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 7585 and 7604 is 57676340.

LCM(7585,7604) = 57676340

LCM Calculator and
and

Least Common Multiple of 7585 and 7604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7585 and 7604, than apply into the LCM equation.

GCF(7585,7604) = 1
LCM(7585,7604) = ( 7585 × 7604) / 1
LCM(7585,7604) = 57676340 / 1
LCM(7585,7604) = 57676340

Least Common Multiple (LCM) of 7585 and 7604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7585 and 7604. First we will calculate the prime factors of 7585 and 7604.

Prime Factorization of 7585

Prime factors of 7585 are 5, 37, 41. Prime factorization of 7585 in exponential form is:

7585 = 51 × 371 × 411

Prime Factorization of 7604

Prime factors of 7604 are 2, 1901. Prime factorization of 7604 in exponential form is:

7604 = 22 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 7585 and 7604.

LCM(7585,7604) = 51 × 371 × 411 × 22 × 19011
LCM(7585,7604) = 57676340