What is the Least Common Multiple of 56500 and 56512?

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 56500 and 56512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56500 and 56512, than apply into the LCM equation.

GCF(56500,56512) = 4
LCM(56500,56512) = ( 56500 × 56512) / 4
LCM(56500,56512) = 3192928000 / 4
LCM(56500,56512) = 798232000

Least Common Multiple (LCM) of 56500 and 56512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56500 and 56512. First we will calculate the prime factors of 56500 and 56512.

Prime Factorization of 56500

Prime Factorization of 56512

Now multiplying the highest exponent prime factors to calculate the LCM of 56500 and 56512.

LCM(56500,56512) = 2⁶ × 5³ × 113¹ × 883¹
LCM(56500,56512) = 798232000