What is the Least Common Multiple of 20742 and 20756?

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 20742 and 20756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20742 and 20756, than apply into the LCM equation.

GCF(20742,20756) = 2
LCM(20742,20756) = ( 20742 × 20756) / 2
LCM(20742,20756) = 430520952 / 2
LCM(20742,20756) = 215260476

Least Common Multiple (LCM) of 20742 and 20756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20742 and 20756. First we will calculate the prime factors of 20742 and 20756.

Prime Factorization of 20742

Prime Factorization of 20756

Now multiplying the highest exponent prime factors to calculate the LCM of 20742 and 20756.

LCM(20742,20756) = 2² × 3¹ × 3457¹ × 5189¹
LCM(20742,20756) = 215260476