What is the Least Common Multiple of 36153 and 36171?

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 36171 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 36171, than apply into the LCM equation.

GCF(36153,36171) = 9
LCM(36153,36171) = ( 36153 × 36171) / 9
LCM(36153,36171) = 1307690163 / 9
LCM(36153,36171) = 145298907

Least Common Multiple (LCM) of 36153 and 36171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36153 and 36171. First we will calculate the prime factors of 36153 and 36171.

Prime Factorization of 36153

Prime Factorization of 36171

Now multiplying the highest exponent prime factors to calculate the LCM of 36153 and 36171.

LCM(36153,36171) = 3³ × 13¹ × 103¹ × 4019¹
LCM(36153,36171) = 145298907