What is the Least Common Multiple of 33183 and 33198?

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 33183 and 33198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33183 and 33198, than apply into the LCM equation.

GCF(33183,33198) = 3
LCM(33183,33198) = ( 33183 × 33198) / 3
LCM(33183,33198) = 1101609234 / 3
LCM(33183,33198) = 367203078

Least Common Multiple (LCM) of 33183 and 33198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33183 and 33198. First we will calculate the prime factors of 33183 and 33198.

Prime Factorization of 33183

Prime Factorization of 33198

Now multiplying the highest exponent prime factors to calculate the LCM of 33183 and 33198.

LCM(33183,33198) = 3³ × 1229¹ × 2¹ × 11¹ × 503¹
LCM(33183,33198) = 367203078