What is the Least Common Multiple of 51264 and 51284?

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 51264 and 51284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51264 and 51284, than apply into the LCM equation.

GCF(51264,51284) = 4
LCM(51264,51284) = ( 51264 × 51284) / 4
LCM(51264,51284) = 2629022976 / 4
LCM(51264,51284) = 657255744

Least Common Multiple (LCM) of 51264 and 51284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51264 and 51284. First we will calculate the prime factors of 51264 and 51284.

Prime Factorization of 51264

Prime Factorization of 51284

Now multiplying the highest exponent prime factors to calculate the LCM of 51264 and 51284.

LCM(51264,51284) = 2⁶ × 3² × 89¹ × 12821¹
LCM(51264,51284) = 657255744