What is the Least Common Multiple of 70359 and 70368?

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 70359 and 70368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70359 and 70368, than apply into the LCM equation.

GCF(70359,70368) = 3
LCM(70359,70368) = ( 70359 × 70368) / 3
LCM(70359,70368) = 4951022112 / 3
LCM(70359,70368) = 1650340704

Least Common Multiple (LCM) of 70359 and 70368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70359 and 70368. First we will calculate the prime factors of 70359 and 70368.

Prime Factorization of 70359

Prime Factorization of 70368

Now multiplying the highest exponent prime factors to calculate the LCM of 70359 and 70368.

LCM(70359,70368) = 3¹ × 47¹ × 499¹ × 2⁵ × 733¹
LCM(70359,70368) = 1650340704