What is the Least Common Multiple of 33735 and 33741?

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 33735 and 33741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33735 and 33741, than apply into the LCM equation.

GCF(33735,33741) = 3
LCM(33735,33741) = ( 33735 × 33741) / 3
LCM(33735,33741) = 1138252635 / 3
LCM(33735,33741) = 379417545

Least Common Multiple (LCM) of 33735 and 33741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33735 and 33741. First we will calculate the prime factors of 33735 and 33741.

Prime Factorization of 33735

Prime Factorization of 33741

Now multiplying the highest exponent prime factors to calculate the LCM of 33735 and 33741.

LCM(33735,33741) = 3² × 5¹ × 13¹ × 173¹ × 23¹ × 163¹
LCM(33735,33741) = 379417545