What is the Least Common Multiple of 51656 and 51666?

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 51656 and 51666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51656 and 51666, than apply into the LCM equation.

GCF(51656,51666) = 2
LCM(51656,51666) = ( 51656 × 51666) / 2
LCM(51656,51666) = 2668858896 / 2
LCM(51656,51666) = 1334429448

Least Common Multiple (LCM) of 51656 and 51666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51656 and 51666. First we will calculate the prime factors of 51656 and 51666.

Prime Factorization of 51656

Prime Factorization of 51666

Now multiplying the highest exponent prime factors to calculate the LCM of 51656 and 51666.

LCM(51656,51666) = 2³ × 11¹ × 587¹ × 3¹ × 79¹ × 109¹
LCM(51656,51666) = 1334429448