What is the Least Common Multiple of 31370 and 31387?

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 31370 and 31387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31370 and 31387, than apply into the LCM equation.

GCF(31370,31387) = 1
LCM(31370,31387) = ( 31370 × 31387) / 1
LCM(31370,31387) = 984610190 / 1
LCM(31370,31387) = 984610190

Least Common Multiple (LCM) of 31370 and 31387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31370 and 31387. First we will calculate the prime factors of 31370 and 31387.

Prime Factorization of 31370

Prime Factorization of 31387

Now multiplying the highest exponent prime factors to calculate the LCM of 31370 and 31387.

LCM(31370,31387) = 2¹ × 5¹ × 3137¹ × 31387¹
LCM(31370,31387) = 984610190