What is the Least Common Multiple of 31350 and 31370?

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 31350 and 31370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31350 and 31370, than apply into the LCM equation.

GCF(31350,31370) = 10
LCM(31350,31370) = ( 31350 × 31370) / 10
LCM(31350,31370) = 983449500 / 10
LCM(31350,31370) = 98344950

Least Common Multiple (LCM) of 31350 and 31370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31350 and 31370. First we will calculate the prime factors of 31350 and 31370.

Prime Factorization of 31350

Prime Factorization of 31370

Now multiplying the highest exponent prime factors to calculate the LCM of 31350 and 31370.

LCM(31350,31370) = 2¹ × 3¹ × 5² × 11¹ × 19¹ × 3137¹
LCM(31350,31370) = 98344950