What is the Least Common Multiple of 33600 and 33609?

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 33600 and 33609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33600 and 33609, than apply into the LCM equation.

GCF(33600,33609) = 3
LCM(33600,33609) = ( 33600 × 33609) / 3
LCM(33600,33609) = 1129262400 / 3
LCM(33600,33609) = 376420800

Least Common Multiple (LCM) of 33600 and 33609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33600 and 33609. First we will calculate the prime factors of 33600 and 33609.

Prime Factorization of 33600

Prime Factorization of 33609

Now multiplying the highest exponent prime factors to calculate the LCM of 33600 and 33609.

LCM(33600,33609) = 2⁶ × 3¹ × 5² × 7¹ × 17¹ × 659¹
LCM(33600,33609) = 376420800