What is the Least Common Multiple of 56200 and 56210?

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 56200 and 56210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56200 and 56210, than apply into the LCM equation.

GCF(56200,56210) = 10
LCM(56200,56210) = ( 56200 × 56210) / 10
LCM(56200,56210) = 3159002000 / 10
LCM(56200,56210) = 315900200

Least Common Multiple (LCM) of 56200 and 56210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56200 and 56210. First we will calculate the prime factors of 56200 and 56210.

Prime Factorization of 56200

Prime Factorization of 56210

Now multiplying the highest exponent prime factors to calculate the LCM of 56200 and 56210.

LCM(56200,56210) = 2³ × 5² × 281¹ × 7¹ × 11¹ × 73¹
LCM(56200,56210) = 315900200