GCF and LCM Calculator Logo

What is the Least Common Multiple of 7576 and 7580?

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 7576 and 7580 is 14356520.

LCM(7576,7580) = 14356520

LCM Calculator and
and

Least Common Multiple of 7576 and 7580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7576 and 7580, than apply into the LCM equation.

GCF(7576,7580) = 4
LCM(7576,7580) = ( 7576 × 7580) / 4
LCM(7576,7580) = 57426080 / 4
LCM(7576,7580) = 14356520

Least Common Multiple (LCM) of 7576 and 7580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7576 and 7580. First we will calculate the prime factors of 7576 and 7580.

Prime Factorization of 7576

Prime factors of 7576 are 2, 947. Prime factorization of 7576 in exponential form is:

7576 = 23 × 9471

Prime Factorization of 7580

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

7580 = 22 × 51 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 7576 and 7580.

LCM(7576,7580) = 23 × 9471 × 51 × 3791
LCM(7576,7580) = 14356520