What is the Least Common Multiple of 36180 and 36189?

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 36180 and 36189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36180 and 36189, than apply into the LCM equation.

GCF(36180,36189) = 9
LCM(36180,36189) = ( 36180 × 36189) / 9
LCM(36180,36189) = 1309318020 / 9
LCM(36180,36189) = 145479780

Least Common Multiple (LCM) of 36180 and 36189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36180 and 36189. First we will calculate the prime factors of 36180 and 36189.

Prime Factorization of 36180

Prime Factorization of 36189

Now multiplying the highest exponent prime factors to calculate the LCM of 36180 and 36189.

LCM(36180,36189) = 2² × 3³ × 5¹ × 67¹ × 4021¹
LCM(36180,36189) = 145479780