What is the Least Common Multiple of 31230 and 31250?

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 31230 and 31250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31230 and 31250, than apply into the LCM equation.

GCF(31230,31250) = 10
LCM(31230,31250) = ( 31230 × 31250) / 10
LCM(31230,31250) = 975937500 / 10
LCM(31230,31250) = 97593750

Least Common Multiple (LCM) of 31230 and 31250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31230 and 31250. First we will calculate the prime factors of 31230 and 31250.

Prime Factorization of 31230

Prime Factorization of 31250

Now multiplying the highest exponent prime factors to calculate the LCM of 31230 and 31250.

LCM(31230,31250) = 2¹ × 3² × 5⁶ × 347¹
LCM(31230,31250) = 97593750