What is the Least Common Multiple of 33840 and 33856?

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 33840 and 33856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33840 and 33856, than apply into the LCM equation.

GCF(33840,33856) = 16
LCM(33840,33856) = ( 33840 × 33856) / 16
LCM(33840,33856) = 1145687040 / 16
LCM(33840,33856) = 71605440

Least Common Multiple (LCM) of 33840 and 33856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33840 and 33856. First we will calculate the prime factors of 33840 and 33856.

Prime Factorization of 33840

Prime Factorization of 33856

Now multiplying the highest exponent prime factors to calculate the LCM of 33840 and 33856.

LCM(33840,33856) = 2⁶ × 3² × 5¹ × 47¹ × 23²
LCM(33840,33856) = 71605440