What is the Least Common Multiple of 36171 and 36180?

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 36171 and 36180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36171 and 36180, than apply into the LCM equation.

GCF(36171,36180) = 9
LCM(36171,36180) = ( 36171 × 36180) / 9
LCM(36171,36180) = 1308666780 / 9
LCM(36171,36180) = 145407420

Least Common Multiple (LCM) of 36171 and 36180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36171 and 36180. First we will calculate the prime factors of 36171 and 36180.

Prime Factorization of 36171

Prime Factorization of 36180

Now multiplying the highest exponent prime factors to calculate the LCM of 36171 and 36180.

LCM(36171,36180) = 3³ × 4019¹ × 2² × 5¹ × 67¹
LCM(36171,36180) = 145407420