What is the Least Common Multiple of 31250 and 31268?

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 31250 and 31268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31250 and 31268, than apply into the LCM equation.

GCF(31250,31268) = 2
LCM(31250,31268) = ( 31250 × 31268) / 2
LCM(31250,31268) = 977125000 / 2
LCM(31250,31268) = 488562500

Least Common Multiple (LCM) of 31250 and 31268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31250 and 31268. First we will calculate the prime factors of 31250 and 31268.

Prime Factorization of 31250

Prime Factorization of 31268

Now multiplying the highest exponent prime factors to calculate the LCM of 31250 and 31268.

LCM(31250,31268) = 2² × 5⁶ × 7817¹
LCM(31250,31268) = 488562500