What is the Least Common Multiple of 79646 and 79664?

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 79646 and 79664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79646 and 79664, than apply into the LCM equation.

GCF(79646,79664) = 2
LCM(79646,79664) = ( 79646 × 79664) / 2
LCM(79646,79664) = 6344918944 / 2
LCM(79646,79664) = 3172459472

Least Common Multiple (LCM) of 79646 and 79664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79646 and 79664. First we will calculate the prime factors of 79646 and 79664.

Prime Factorization of 79646

Prime Factorization of 79664

Now multiplying the highest exponent prime factors to calculate the LCM of 79646 and 79664.

LCM(79646,79664) = 2⁴ × 7¹ × 5689¹ × 13¹ × 383¹
LCM(79646,79664) = 3172459472