What is the Least Common Multiple of 20724 and 20733?

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 20724 and 20733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20724 and 20733, than apply into the LCM equation.

GCF(20724,20733) = 3
LCM(20724,20733) = ( 20724 × 20733) / 3
LCM(20724,20733) = 429670692 / 3
LCM(20724,20733) = 143223564

Least Common Multiple (LCM) of 20724 and 20733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20724 and 20733. First we will calculate the prime factors of 20724 and 20733.

Prime Factorization of 20724

Prime Factorization of 20733

Now multiplying the highest exponent prime factors to calculate the LCM of 20724 and 20733.

LCM(20724,20733) = 2² × 3¹ × 11¹ × 157¹ × 6911¹
LCM(20724,20733) = 143223564