What is the Least Common Multiple of 36153 and 36167?

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 36167 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 36167, than apply into the LCM equation.

GCF(36153,36167) = 1
LCM(36153,36167) = ( 36153 × 36167) / 1
LCM(36153,36167) = 1307545551 / 1
LCM(36153,36167) = 1307545551

Least Common Multiple (LCM) of 36153 and 36167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36153 and 36167. First we will calculate the prime factors of 36153 and 36167.

Prime Factorization of 36153

Prime Factorization of 36167

Now multiplying the highest exponent prime factors to calculate the LCM of 36153 and 36167.

LCM(36153,36167) = 3³ × 13¹ × 103¹ × 59¹ × 613¹
LCM(36153,36167) = 1307545551