What is the Least Common Multiple of 56900 and 56916?

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 56900 and 56916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56900 and 56916, than apply into the LCM equation.

GCF(56900,56916) = 4
LCM(56900,56916) = ( 56900 × 56916) / 4
LCM(56900,56916) = 3238520400 / 4
LCM(56900,56916) = 809630100

Least Common Multiple (LCM) of 56900 and 56916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56900 and 56916. First we will calculate the prime factors of 56900 and 56916.

Prime Factorization of 56900

Prime Factorization of 56916

Now multiplying the highest exponent prime factors to calculate the LCM of 56900 and 56916.

LCM(56900,56916) = 2² × 5² × 569¹ × 3³ × 17¹ × 31¹
LCM(56900,56916) = 809630100