What is the Least Common Multiple of 33423 and 33441?

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 33423 and 33441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33423 and 33441, than apply into the LCM equation.

GCF(33423,33441) = 3
LCM(33423,33441) = ( 33423 × 33441) / 3
LCM(33423,33441) = 1117698543 / 3
LCM(33423,33441) = 372566181

Least Common Multiple (LCM) of 33423 and 33441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33423 and 33441. First we will calculate the prime factors of 33423 and 33441.

Prime Factorization of 33423

Prime Factorization of 33441

Now multiplying the highest exponent prime factors to calculate the LCM of 33423 and 33441.

LCM(33423,33441) = 3¹ × 13¹ × 857¹ × 71¹ × 157¹
LCM(33423,33441) = 372566181