What is the Least Common Multiple of 20320 and 20329?

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 20320 and 20329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20320 and 20329, than apply into the LCM equation.

GCF(20320,20329) = 1
LCM(20320,20329) = ( 20320 × 20329) / 1
LCM(20320,20329) = 413085280 / 1
LCM(20320,20329) = 413085280

Least Common Multiple (LCM) of 20320 and 20329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20320 and 20329. First we will calculate the prime factors of 20320 and 20329.

Prime Factorization of 20320

Prime Factorization of 20329

Now multiplying the highest exponent prime factors to calculate the LCM of 20320 and 20329.

LCM(20320,20329) = 2⁵ × 5¹ × 127¹ × 29¹ × 701¹
LCM(20320,20329) = 413085280