What is the Least Common Multiple of 36153 and 36163?

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 36163 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 36163, than apply into the LCM equation.

GCF(36153,36163) = 1
LCM(36153,36163) = ( 36153 × 36163) / 1
LCM(36153,36163) = 1307400939 / 1
LCM(36153,36163) = 1307400939

Least Common Multiple (LCM) of 36153 and 36163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36153 and 36163. First we will calculate the prime factors of 36153 and 36163.

Prime Factorization of 36153

Prime Factorization of 36163

Now multiplying the highest exponent prime factors to calculate the LCM of 36153 and 36163.

LCM(36153,36163) = 3³ × 13¹ × 103¹ × 29² × 43¹
LCM(36153,36163) = 1307400939