What is the Least Common Multiple of 20512 and 20524?

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 20512 and 20524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20512 and 20524, than apply into the LCM equation.

GCF(20512,20524) = 4
LCM(20512,20524) = ( 20512 × 20524) / 4
LCM(20512,20524) = 420988288 / 4
LCM(20512,20524) = 105247072

Least Common Multiple (LCM) of 20512 and 20524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20512 and 20524. First we will calculate the prime factors of 20512 and 20524.

Prime Factorization of 20512

Prime Factorization of 20524

Now multiplying the highest exponent prime factors to calculate the LCM of 20512 and 20524.

LCM(20512,20524) = 2⁵ × 641¹ × 7¹ × 733¹
LCM(20512,20524) = 105247072