What is the Least Common Multiple of 51440 and 51456?

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 51440 and 51456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51440 and 51456, than apply into the LCM equation.

GCF(51440,51456) = 16
LCM(51440,51456) = ( 51440 × 51456) / 16
LCM(51440,51456) = 2646896640 / 16
LCM(51440,51456) = 165431040

Least Common Multiple (LCM) of 51440 and 51456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51440 and 51456. First we will calculate the prime factors of 51440 and 51456.

Prime Factorization of 51440

Prime Factorization of 51456

Now multiplying the highest exponent prime factors to calculate the LCM of 51440 and 51456.

LCM(51440,51456) = 2⁸ × 5¹ × 643¹ × 3¹ × 67¹
LCM(51440,51456) = 165431040