What is the Least Common Multiple of 20684 and 20698?

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 20684 and 20698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20684 and 20698, than apply into the LCM equation.

GCF(20684,20698) = 2
LCM(20684,20698) = ( 20684 × 20698) / 2
LCM(20684,20698) = 428117432 / 2
LCM(20684,20698) = 214058716

Least Common Multiple (LCM) of 20684 and 20698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20684 and 20698. First we will calculate the prime factors of 20684 and 20698.

Prime Factorization of 20684

Prime Factorization of 20698

Now multiplying the highest exponent prime factors to calculate the LCM of 20684 and 20698.

LCM(20684,20698) = 2² × 5171¹ × 79¹ × 131¹
LCM(20684,20698) = 214058716