What is the Least Common Multiple of 36204 and 36222?

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 36222 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 36222, than apply into the LCM equation.

GCF(36204,36222) = 6
LCM(36204,36222) = ( 36204 × 36222) / 6
LCM(36204,36222) = 1311381288 / 6
LCM(36204,36222) = 218563548

Least Common Multiple (LCM) of 36204 and 36222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36204 and 36222. First we will calculate the prime factors of 36204 and 36222.

Prime Factorization of 36204

Prime Factorization of 36222

Now multiplying the highest exponent prime factors to calculate the LCM of 36204 and 36222.

LCM(36204,36222) = 2² × 3¹ × 7¹ × 431¹ × 6037¹
LCM(36204,36222) = 218563548