What is the Least Common Multiple of 15204 and 15222?

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 15204 and 15222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15204 and 15222, than apply into the LCM equation.

GCF(15204,15222) = 6
LCM(15204,15222) = ( 15204 × 15222) / 6
LCM(15204,15222) = 231435288 / 6
LCM(15204,15222) = 38572548

Least Common Multiple (LCM) of 15204 and 15222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15204 and 15222. First we will calculate the prime factors of 15204 and 15222.

Prime Factorization of 15204

Prime Factorization of 15222

Now multiplying the highest exponent prime factors to calculate the LCM of 15204 and 15222.

LCM(15204,15222) = 2² × 3¹ × 7¹ × 181¹ × 43¹ × 59¹
LCM(15204,15222) = 38572548