What is the Least Common Multiple of 33408 and 33428?

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 33408 and 33428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33408 and 33428, than apply into the LCM equation.

GCF(33408,33428) = 4
LCM(33408,33428) = ( 33408 × 33428) / 4
LCM(33408,33428) = 1116762624 / 4
LCM(33408,33428) = 279190656

Least Common Multiple (LCM) of 33408 and 33428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33408 and 33428. First we will calculate the prime factors of 33408 and 33428.

Prime Factorization of 33408

Prime Factorization of 33428

Now multiplying the highest exponent prime factors to calculate the LCM of 33408 and 33428.

LCM(33408,33428) = 2⁷ × 3² × 29¹ × 61¹ × 137¹
LCM(33408,33428) = 279190656