What is the Least Common Multiple of 51250 and 51264?

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 51250 and 51264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51250 and 51264, than apply into the LCM equation.

GCF(51250,51264) = 2
LCM(51250,51264) = ( 51250 × 51264) / 2
LCM(51250,51264) = 2627280000 / 2
LCM(51250,51264) = 1313640000

Least Common Multiple (LCM) of 51250 and 51264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51250 and 51264. First we will calculate the prime factors of 51250 and 51264.

Prime Factorization of 51250

Prime Factorization of 51264

Now multiplying the highest exponent prime factors to calculate the LCM of 51250 and 51264.

LCM(51250,51264) = 2⁶ × 5⁴ × 41¹ × 3² × 89¹
LCM(51250,51264) = 1313640000