What is the Least Common Multiple of 33728 and 33742?

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 33728 and 33742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33728 and 33742, than apply into the LCM equation.

GCF(33728,33742) = 2
LCM(33728,33742) = ( 33728 × 33742) / 2
LCM(33728,33742) = 1138050176 / 2
LCM(33728,33742) = 569025088

Least Common Multiple (LCM) of 33728 and 33742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33728 and 33742. First we will calculate the prime factors of 33728 and 33742.

Prime Factorization of 33728

Prime Factorization of 33742

Now multiplying the highest exponent prime factors to calculate the LCM of 33728 and 33742.

LCM(33728,33742) = 2⁶ × 17¹ × 31¹ × 16871¹
LCM(33728,33742) = 569025088