What is the Least Common Multiple of 33450 and 33456?

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 33450 and 33456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33450 and 33456, than apply into the LCM equation.

GCF(33450,33456) = 6
LCM(33450,33456) = ( 33450 × 33456) / 6
LCM(33450,33456) = 1119103200 / 6
LCM(33450,33456) = 186517200

Least Common Multiple (LCM) of 33450 and 33456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33450 and 33456. First we will calculate the prime factors of 33450 and 33456.

Prime Factorization of 33450

Prime Factorization of 33456

Now multiplying the highest exponent prime factors to calculate the LCM of 33450 and 33456.

LCM(33450,33456) = 2⁴ × 3¹ × 5² × 223¹ × 17¹ × 41¹
LCM(33450,33456) = 186517200