What is the Least Common Multiple of 33718 and 33728?

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 33718 and 33728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33718 and 33728, than apply into the LCM equation.

GCF(33718,33728) = 2
LCM(33718,33728) = ( 33718 × 33728) / 2
LCM(33718,33728) = 1137240704 / 2
LCM(33718,33728) = 568620352

Least Common Multiple (LCM) of 33718 and 33728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33718 and 33728. First we will calculate the prime factors of 33718 and 33728.

Prime Factorization of 33718

Prime Factorization of 33728

Now multiplying the highest exponent prime factors to calculate the LCM of 33718 and 33728.

LCM(33718,33728) = 2⁶ × 23¹ × 733¹ × 17¹ × 31¹
LCM(33718,33728) = 568620352