What is the Least Common Multiple of 36054 and 36072?

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 36054 and 36072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36054 and 36072, than apply into the LCM equation.

GCF(36054,36072) = 18
LCM(36054,36072) = ( 36054 × 36072) / 18
LCM(36054,36072) = 1300539888 / 18
LCM(36054,36072) = 72252216

Least Common Multiple (LCM) of 36054 and 36072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36054 and 36072. First we will calculate the prime factors of 36054 and 36072.

Prime Factorization of 36054

Prime Factorization of 36072

Now multiplying the highest exponent prime factors to calculate the LCM of 36054 and 36072.

LCM(36054,36072) = 2³ × 3³ × 2003¹ × 167¹
LCM(36054,36072) = 72252216