What is the Least Common Multiple of 33854 and 33872?

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 33854 and 33872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33854 and 33872, than apply into the LCM equation.

GCF(33854,33872) = 2
LCM(33854,33872) = ( 33854 × 33872) / 2
LCM(33854,33872) = 1146702688 / 2
LCM(33854,33872) = 573351344

Least Common Multiple (LCM) of 33854 and 33872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33854 and 33872. First we will calculate the prime factors of 33854 and 33872.

Prime Factorization of 33854

Prime Factorization of 33872

Now multiplying the highest exponent prime factors to calculate the LCM of 33854 and 33872.

LCM(33854,33872) = 2⁴ × 16927¹ × 29¹ × 73¹
LCM(33854,33872) = 573351344