What is the Least Common Multiple of 75552 and 75570?

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 75552 and 75570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75552 and 75570, than apply into the LCM equation.

GCF(75552,75570) = 6
LCM(75552,75570) = ( 75552 × 75570) / 6
LCM(75552,75570) = 5709464640 / 6
LCM(75552,75570) = 951577440

Least Common Multiple (LCM) of 75552 and 75570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75552 and 75570. First we will calculate the prime factors of 75552 and 75570.

Prime Factorization of 75552

Prime Factorization of 75570

Now multiplying the highest exponent prime factors to calculate the LCM of 75552 and 75570.

LCM(75552,75570) = 2⁵ × 3¹ × 787¹ × 5¹ × 11¹ × 229¹
LCM(75552,75570) = 951577440