What is the Least Common Multiple of 7572 and 7589?

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 of 7572 and 7589 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 7589, than apply into the LCM equation.

GCF(7572,7589) = 1
LCM(7572,7589) = ( 7572 × 7589) / 1
LCM(7572,7589) = 57463908 / 1
LCM(7572,7589) = 57463908

Least Common Multiple (LCM) of 7572 and 7589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7572 and 7589. First we will calculate the prime factors of 7572 and 7589.

Prime Factorization of 7572

Prime Factorization of 7589

Now multiplying the highest exponent prime factors to calculate the LCM of 7572 and 7589.

LCM(7572,7589) = 2² × 3¹ × 631¹ × 7589¹
LCM(7572,7589) = 57463908