What is the Least Common Multiple of 33936 and 33946?

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 33936 and 33946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33936 and 33946, than apply into the LCM equation.

GCF(33936,33946) = 2
LCM(33936,33946) = ( 33936 × 33946) / 2
LCM(33936,33946) = 1151991456 / 2
LCM(33936,33946) = 575995728

Least Common Multiple (LCM) of 33936 and 33946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33936 and 33946. First we will calculate the prime factors of 33936 and 33946.

Prime Factorization of 33936

Prime Factorization of 33946

Now multiplying the highest exponent prime factors to calculate the LCM of 33936 and 33946.

LCM(33936,33946) = 2⁴ × 3¹ × 7¹ × 101¹ × 11¹ × 1543¹
LCM(33936,33946) = 575995728