GCF and LCM Calculator Logo

What is the Least Common Multiple of 7596 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 7596 and 7604 is 14439996.

LCM(7596,7604) = 14439996

LCM Calculator and
and

Least Common Multiple of 7596 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 7596 and 7604, than apply into the LCM equation.

GCF(7596,7604) = 4
LCM(7596,7604) = ( 7596 × 7604) / 4
LCM(7596,7604) = 57759984 / 4
LCM(7596,7604) = 14439996

Least Common Multiple (LCM) of 7596 and 7604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7596 and 7604. First we will calculate the prime factors of 7596 and 7604.

Prime Factorization of 7596

Prime factors of 7596 are 2, 3, 211. Prime factorization of 7596 in exponential form is:

7596 = 22 × 32 × 2111

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 7596 and 7604.

LCM(7596,7604) = 22 × 32 × 2111 × 19011
LCM(7596,7604) = 14439996