What is the Least Common Multiple of 36204 and 36219?

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 36204 and 36219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36204 and 36219, than apply into the LCM equation.

GCF(36204,36219) = 3
LCM(36204,36219) = ( 36204 × 36219) / 3
LCM(36204,36219) = 1311272676 / 3
LCM(36204,36219) = 437090892

Least Common Multiple (LCM) of 36204 and 36219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36204 and 36219. First we will calculate the prime factors of 36204 and 36219.

Prime Factorization of 36204

Prime Factorization of 36219

Now multiplying the highest exponent prime factors to calculate the LCM of 36204 and 36219.

LCM(36204,36219) = 2² × 3¹ × 7¹ × 431¹ × 12073¹
LCM(36204,36219) = 437090892