What is the Least Common Multiple of 33728 and 33746?

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 33746 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 33746, than apply into the LCM equation.

GCF(33728,33746) = 2
LCM(33728,33746) = ( 33728 × 33746) / 2
LCM(33728,33746) = 1138185088 / 2
LCM(33728,33746) = 569092544

Least Common Multiple (LCM) of 33728 and 33746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33728 and 33746. First we will calculate the prime factors of 33728 and 33746.

Prime Factorization of 33728

Prime Factorization of 33746

Now multiplying the highest exponent prime factors to calculate the LCM of 33728 and 33746.

LCM(33728,33746) = 2⁶ × 17¹ × 31¹ × 47¹ × 359¹
LCM(33728,33746) = 569092544