What is the Least Common Multiple of 30984 and 31002?

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 30984 and 31002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30984 and 31002, than apply into the LCM equation.

GCF(30984,31002) = 6
LCM(30984,31002) = ( 30984 × 31002) / 6
LCM(30984,31002) = 960565968 / 6
LCM(30984,31002) = 160094328

Least Common Multiple (LCM) of 30984 and 31002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30984 and 31002. First we will calculate the prime factors of 30984 and 31002.

Prime Factorization of 30984

Prime Factorization of 31002

Now multiplying the highest exponent prime factors to calculate the LCM of 30984 and 31002.

LCM(30984,31002) = 2³ × 3¹ × 1291¹ × 5167¹
LCM(30984,31002) = 160094328