What is the Least Common Multiple of 20808 and 20812?

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 20808 and 20812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20808 and 20812, than apply into the LCM equation.

GCF(20808,20812) = 4
LCM(20808,20812) = ( 20808 × 20812) / 4
LCM(20808,20812) = 433056096 / 4
LCM(20808,20812) = 108264024

Least Common Multiple (LCM) of 20808 and 20812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20808 and 20812. First we will calculate the prime factors of 20808 and 20812.

Prime Factorization of 20808

Prime Factorization of 20812

Now multiplying the highest exponent prime factors to calculate the LCM of 20808 and 20812.

LCM(20808,20812) = 2³ × 3² × 17² × 11² × 43¹
LCM(20808,20812) = 108264024