GCF and LCM Calculator Logo

What is the Least Common Multiple of 7572 and 7581?

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 7572 and 7581 is 19134444.

LCM(7572,7581) = 19134444

LCM Calculator and
and

Least Common Multiple of 7572 and 7581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7572 and 7581, than apply into the LCM equation.

GCF(7572,7581) = 3
LCM(7572,7581) = ( 7572 × 7581) / 3
LCM(7572,7581) = 57403332 / 3
LCM(7572,7581) = 19134444

Least Common Multiple (LCM) of 7572 and 7581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7572 and 7581. First we will calculate the prime factors of 7572 and 7581.

Prime Factorization of 7572

Prime factors of 7572 are 2, 3, 631. Prime factorization of 7572 in exponential form is:

7572 = 22 × 31 × 6311

Prime Factorization of 7581

Prime factors of 7581 are 3, 7, 19. Prime factorization of 7581 in exponential form is:

7581 = 31 × 71 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 7572 and 7581.

LCM(7572,7581) = 22 × 31 × 6311 × 71 × 192
LCM(7572,7581) = 19134444