What is the Least Common Multiple of 20792 and 20810?

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 20792 and 20810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20792 and 20810, than apply into the LCM equation.

GCF(20792,20810) = 2
LCM(20792,20810) = ( 20792 × 20810) / 2
LCM(20792,20810) = 432681520 / 2
LCM(20792,20810) = 216340760

Least Common Multiple (LCM) of 20792 and 20810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20792 and 20810. First we will calculate the prime factors of 20792 and 20810.

Prime Factorization of 20792

Prime Factorization of 20810

Now multiplying the highest exponent prime factors to calculate the LCM of 20792 and 20810.

LCM(20792,20810) = 2³ × 23¹ × 113¹ × 5¹ × 2081¹
LCM(20792,20810) = 216340760