What is the Least Common Multiple of 56085 and 56100?

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 56085 and 56100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56085 and 56100, than apply into the LCM equation.

GCF(56085,56100) = 15
LCM(56085,56100) = ( 56085 × 56100) / 15
LCM(56085,56100) = 3146368500 / 15
LCM(56085,56100) = 209757900

Least Common Multiple (LCM) of 56085 and 56100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56085 and 56100. First we will calculate the prime factors of 56085 and 56100.

Prime Factorization of 56085

Prime Factorization of 56100

Now multiplying the highest exponent prime factors to calculate the LCM of 56085 and 56100.

LCM(56085,56100) = 3¹ × 5² × 3739¹ × 2² × 11¹ × 17¹
LCM(56085,56100) = 209757900