What is the Least Common Multiple of 70646 and 70664?

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 70646 and 70664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70646 and 70664, than apply into the LCM equation.

GCF(70646,70664) = 2
LCM(70646,70664) = ( 70646 × 70664) / 2
LCM(70646,70664) = 4992128944 / 2
LCM(70646,70664) = 2496064472

Least Common Multiple (LCM) of 70646 and 70664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70646 and 70664. First we will calculate the prime factors of 70646 and 70664.

Prime Factorization of 70646

Prime Factorization of 70664

Now multiplying the highest exponent prime factors to calculate the LCM of 70646 and 70664.

LCM(70646,70664) = 2³ × 35323¹ × 11² × 73¹
LCM(70646,70664) = 2496064472