What is the Least Common Multiple of 56825 and 56840?

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 56825 and 56840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56825 and 56840, than apply into the LCM equation.

GCF(56825,56840) = 5
LCM(56825,56840) = ( 56825 × 56840) / 5
LCM(56825,56840) = 3229933000 / 5
LCM(56825,56840) = 645986600

Least Common Multiple (LCM) of 56825 and 56840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56825 and 56840. First we will calculate the prime factors of 56825 and 56840.

Prime Factorization of 56825

Prime Factorization of 56840

Now multiplying the highest exponent prime factors to calculate the LCM of 56825 and 56840.

LCM(56825,56840) = 5² × 2273¹ × 2³ × 7² × 29¹
LCM(56825,56840) = 645986600