What is the Least Common Multiple of 93552 and 93570?

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 93552 and 93570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93552 and 93570, than apply into the LCM equation.

GCF(93552,93570) = 6
LCM(93552,93570) = ( 93552 × 93570) / 6
LCM(93552,93570) = 8753660640 / 6
LCM(93552,93570) = 1458943440

Least Common Multiple (LCM) of 93552 and 93570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93552 and 93570. First we will calculate the prime factors of 93552 and 93570.

Prime Factorization of 93552

Prime Factorization of 93570

Now multiplying the highest exponent prime factors to calculate the LCM of 93552 and 93570.

LCM(93552,93570) = 2⁴ × 3¹ × 1949¹ × 5¹ × 3119¹
LCM(93552,93570) = 1458943440