What is the Least Common Multiple of 36189 and 36195?

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 36189 and 36195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36189 and 36195, than apply into the LCM equation.

GCF(36189,36195) = 3
LCM(36189,36195) = ( 36189 × 36195) / 3
LCM(36189,36195) = 1309860855 / 3
LCM(36189,36195) = 436620285

Least Common Multiple (LCM) of 36189 and 36195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36189 and 36195. First we will calculate the prime factors of 36189 and 36195.

Prime Factorization of 36189

Prime Factorization of 36195

Now multiplying the highest exponent prime factors to calculate the LCM of 36189 and 36195.

LCM(36189,36195) = 3² × 4021¹ × 5¹ × 19¹ × 127¹
LCM(36189,36195) = 436620285