What is the Least Common Multiple of 33792 and 33810?

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 33792 and 33810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33792 and 33810, than apply into the LCM equation.

GCF(33792,33810) = 6
LCM(33792,33810) = ( 33792 × 33810) / 6
LCM(33792,33810) = 1142507520 / 6
LCM(33792,33810) = 190417920

Least Common Multiple (LCM) of 33792 and 33810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33792 and 33810. First we will calculate the prime factors of 33792 and 33810.

Prime Factorization of 33792

Prime Factorization of 33810

Now multiplying the highest exponent prime factors to calculate the LCM of 33792 and 33810.

LCM(33792,33810) = 2¹⁰ × 3¹ × 11¹ × 5¹ × 7² × 23¹
LCM(33792,33810) = 190417920