What is the Least Common Multiple of 36018 and 36032?

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 36018 and 36032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36018 and 36032, than apply into the LCM equation.

GCF(36018,36032) = 2
LCM(36018,36032) = ( 36018 × 36032) / 2
LCM(36018,36032) = 1297800576 / 2
LCM(36018,36032) = 648900288

Least Common Multiple (LCM) of 36018 and 36032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36018 and 36032. First we will calculate the prime factors of 36018 and 36032.

Prime Factorization of 36018

Prime Factorization of 36032

Now multiplying the highest exponent prime factors to calculate the LCM of 36018 and 36032.

LCM(36018,36032) = 2⁶ × 3³ × 23¹ × 29¹ × 563¹
LCM(36018,36032) = 648900288