What is the Least Common Multiple of 51456 and 51474?

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 51456 and 51474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51456 and 51474, than apply into the LCM equation.

GCF(51456,51474) = 6
LCM(51456,51474) = ( 51456 × 51474) / 6
LCM(51456,51474) = 2648646144 / 6
LCM(51456,51474) = 441441024

Least Common Multiple (LCM) of 51456 and 51474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51456 and 51474. First we will calculate the prime factors of 51456 and 51474.

Prime Factorization of 51456

Prime Factorization of 51474

Now multiplying the highest exponent prime factors to calculate the LCM of 51456 and 51474.

LCM(51456,51474) = 2⁸ × 3¹ × 67¹ × 23¹ × 373¹
LCM(51456,51474) = 441441024