What is the Least Common Multiple of 12228 and 12243?

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 12228 and 12243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12228 and 12243, than apply into the LCM equation.

GCF(12228,12243) = 3
LCM(12228,12243) = ( 12228 × 12243) / 3
LCM(12228,12243) = 149707404 / 3
LCM(12228,12243) = 49902468

Least Common Multiple (LCM) of 12228 and 12243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12228 and 12243. First we will calculate the prime factors of 12228 and 12243.

Prime Factorization of 12228

Prime Factorization of 12243

Now multiplying the highest exponent prime factors to calculate the LCM of 12228 and 12243.

LCM(12228,12243) = 2² × 3¹ × 1019¹ × 7¹ × 11¹ × 53¹
LCM(12228,12243) = 49902468