What is the Least Common Multiple of 36144 and 36162?

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 36144 and 36162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36144 and 36162, than apply into the LCM equation.

GCF(36144,36162) = 18
LCM(36144,36162) = ( 36144 × 36162) / 18
LCM(36144,36162) = 1307039328 / 18
LCM(36144,36162) = 72613296

Least Common Multiple (LCM) of 36144 and 36162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36144 and 36162. First we will calculate the prime factors of 36144 and 36162.

Prime Factorization of 36144

Prime Factorization of 36162

Now multiplying the highest exponent prime factors to calculate the LCM of 36144 and 36162.

LCM(36144,36162) = 2⁴ × 3² × 251¹ × 7² × 41¹
LCM(36144,36162) = 72613296