What is the Least Common Multiple of 16020 and 16032?

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 16020 and 16032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16020 and 16032, than apply into the LCM equation.

GCF(16020,16032) = 12
LCM(16020,16032) = ( 16020 × 16032) / 12
LCM(16020,16032) = 256832640 / 12
LCM(16020,16032) = 21402720

Least Common Multiple (LCM) of 16020 and 16032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16020 and 16032. First we will calculate the prime factors of 16020 and 16032.

Prime Factorization of 16020

Prime Factorization of 16032

Now multiplying the highest exponent prime factors to calculate the LCM of 16020 and 16032.

LCM(16020,16032) = 2⁵ × 3² × 5¹ × 89¹ × 167¹
LCM(16020,16032) = 21402720