What is the Least Common Multiple of 20508 and 20512?

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 20508 and 20512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20508 and 20512, than apply into the LCM equation.

GCF(20508,20512) = 4
LCM(20508,20512) = ( 20508 × 20512) / 4
LCM(20508,20512) = 420660096 / 4
LCM(20508,20512) = 105165024

Least Common Multiple (LCM) of 20508 and 20512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20508 and 20512. First we will calculate the prime factors of 20508 and 20512.

Prime Factorization of 20508

Prime Factorization of 20512

Now multiplying the highest exponent prime factors to calculate the LCM of 20508 and 20512.

LCM(20508,20512) = 2⁵ × 3¹ × 1709¹ × 641¹
LCM(20508,20512) = 105165024