What is the Least Common Multiple of 33933 and 33944?

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 33933 and 33944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33933 and 33944, than apply into the LCM equation.

GCF(33933,33944) = 1
LCM(33933,33944) = ( 33933 × 33944) / 1
LCM(33933,33944) = 1151821752 / 1
LCM(33933,33944) = 1151821752

Least Common Multiple (LCM) of 33933 and 33944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33933 and 33944. First we will calculate the prime factors of 33933 and 33944.

Prime Factorization of 33933

Prime Factorization of 33944

Now multiplying the highest exponent prime factors to calculate the LCM of 33933 and 33944.

LCM(33933,33944) = 3¹ × 11311¹ × 2³ × 4243¹
LCM(33933,33944) = 1151821752