What is the Least Common Multiple of 51646 and 51664?

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 51646 and 51664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51646 and 51664, than apply into the LCM equation.

GCF(51646,51664) = 2
LCM(51646,51664) = ( 51646 × 51664) / 2
LCM(51646,51664) = 2668238944 / 2
LCM(51646,51664) = 1334119472

Least Common Multiple (LCM) of 51646 and 51664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51646 and 51664. First we will calculate the prime factors of 51646 and 51664.

Prime Factorization of 51646

Prime Factorization of 51664

Now multiplying the highest exponent prime factors to calculate the LCM of 51646 and 51664.

LCM(51646,51664) = 2⁴ × 7² × 17¹ × 31¹ × 3229¹
LCM(51646,51664) = 1334119472