What is the Least Common Multiple of 33504 and 33509?

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 33504 and 33509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33504 and 33509, than apply into the LCM equation.

GCF(33504,33509) = 1
LCM(33504,33509) = ( 33504 × 33509) / 1
LCM(33504,33509) = 1122685536 / 1
LCM(33504,33509) = 1122685536

Least Common Multiple (LCM) of 33504 and 33509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33504 and 33509. First we will calculate the prime factors of 33504 and 33509.

Prime Factorization of 33504

Prime Factorization of 33509

Now multiplying the highest exponent prime factors to calculate the LCM of 33504 and 33509.

LCM(33504,33509) = 2⁵ × 3¹ × 349¹ × 7¹ × 4787¹
LCM(33504,33509) = 1122685536