What is the Least Common Multiple of 66552 and 66570?

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 66552 and 66570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66552 and 66570, than apply into the LCM equation.

GCF(66552,66570) = 6
LCM(66552,66570) = ( 66552 × 66570) / 6
LCM(66552,66570) = 4430366640 / 6
LCM(66552,66570) = 738394440

Least Common Multiple (LCM) of 66552 and 66570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66552 and 66570. First we will calculate the prime factors of 66552 and 66570.

Prime Factorization of 66552

Prime Factorization of 66570

Now multiplying the highest exponent prime factors to calculate the LCM of 66552 and 66570.

LCM(66552,66570) = 2³ × 3¹ × 47¹ × 59¹ × 5¹ × 7¹ × 317¹
LCM(66552,66570) = 738394440