What is the Least Common Multiple of 56200 and 56205?

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 56205 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 56205, than apply into the LCM equation.

GCF(56200,56205) = 5
LCM(56200,56205) = ( 56200 × 56205) / 5
LCM(56200,56205) = 3158721000 / 5
LCM(56200,56205) = 631744200

Least Common Multiple (LCM) of 56200 and 56205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56200 and 56205. First we will calculate the prime factors of 56200 and 56205.

Prime Factorization of 56200

Prime Factorization of 56205

Now multiplying the highest exponent prime factors to calculate the LCM of 56200 and 56205.

LCM(56200,56205) = 2³ × 5² × 281¹ × 3² × 1249¹
LCM(56200,56205) = 631744200