What is the Least Common Multiple of 33832 and 33840?

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 33832 and 33840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33832 and 33840, than apply into the LCM equation.

GCF(33832,33840) = 8
LCM(33832,33840) = ( 33832 × 33840) / 8
LCM(33832,33840) = 1144874880 / 8
LCM(33832,33840) = 143109360

Least Common Multiple (LCM) of 33832 and 33840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33832 and 33840. First we will calculate the prime factors of 33832 and 33840.

Prime Factorization of 33832

Prime Factorization of 33840

Now multiplying the highest exponent prime factors to calculate the LCM of 33832 and 33840.

LCM(33832,33840) = 2⁴ × 4229¹ × 3² × 5¹ × 47¹
LCM(33832,33840) = 143109360