What is the Least Common Multiple of 33948 and 33952?

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 33948 and 33952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33948 and 33952, than apply into the LCM equation.

GCF(33948,33952) = 4
LCM(33948,33952) = ( 33948 × 33952) / 4
LCM(33948,33952) = 1152602496 / 4
LCM(33948,33952) = 288150624

Least Common Multiple (LCM) of 33948 and 33952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33948 and 33952. First we will calculate the prime factors of 33948 and 33952.

Prime Factorization of 33948

Prime Factorization of 33952

Now multiplying the highest exponent prime factors to calculate the LCM of 33948 and 33952.

LCM(33948,33952) = 2⁵ × 3² × 23¹ × 41¹ × 1061¹
LCM(33948,33952) = 288150624