What is the Least Common Multiple of 36153 and 36164?

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 36153 and 36164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36153 and 36164, than apply into the LCM equation.

GCF(36153,36164) = 1
LCM(36153,36164) = ( 36153 × 36164) / 1
LCM(36153,36164) = 1307437092 / 1
LCM(36153,36164) = 1307437092

Least Common Multiple (LCM) of 36153 and 36164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36153 and 36164. First we will calculate the prime factors of 36153 and 36164.

Prime Factorization of 36153

Prime Factorization of 36164

Now multiplying the highest exponent prime factors to calculate the LCM of 36153 and 36164.

LCM(36153,36164) = 3³ × 13¹ × 103¹ × 2² × 9041¹
LCM(36153,36164) = 1307437092