What is the Least Common Multiple of 12228 and 12235?

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 12235 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 12235, than apply into the LCM equation.

GCF(12228,12235) = 1
LCM(12228,12235) = ( 12228 × 12235) / 1
LCM(12228,12235) = 149609580 / 1
LCM(12228,12235) = 149609580

Least Common Multiple (LCM) of 12228 and 12235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12228 and 12235. First we will calculate the prime factors of 12228 and 12235.

Prime Factorization of 12228

Prime Factorization of 12235

Now multiplying the highest exponent prime factors to calculate the LCM of 12228 and 12235.

LCM(12228,12235) = 2² × 3¹ × 1019¹ × 5¹ × 2447¹
LCM(12228,12235) = 149609580