What is the Least Common Multiple of 33222 and 33238?

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 33222 and 33238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33222 and 33238, than apply into the LCM equation.

GCF(33222,33238) = 2
LCM(33222,33238) = ( 33222 × 33238) / 2
LCM(33222,33238) = 1104232836 / 2
LCM(33222,33238) = 552116418

Least Common Multiple (LCM) of 33222 and 33238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33222 and 33238. First we will calculate the prime factors of 33222 and 33238.

Prime Factorization of 33222

Prime Factorization of 33238

Now multiplying the highest exponent prime factors to calculate the LCM of 33222 and 33238.

LCM(33222,33238) = 2¹ × 3¹ × 7² × 113¹ × 16619¹
LCM(33222,33238) = 552116418