What is the Least Common Multiple of 33824 and 33828?

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 33824 and 33828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33824 and 33828, than apply into the LCM equation.

GCF(33824,33828) = 4
LCM(33824,33828) = ( 33824 × 33828) / 4
LCM(33824,33828) = 1144198272 / 4
LCM(33824,33828) = 286049568

Least Common Multiple (LCM) of 33824 and 33828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33824 and 33828. First we will calculate the prime factors of 33824 and 33828.

Prime Factorization of 33824

Prime Factorization of 33828

Now multiplying the highest exponent prime factors to calculate the LCM of 33824 and 33828.

LCM(33824,33828) = 2⁵ × 7¹ × 151¹ × 3¹ × 2819¹
LCM(33824,33828) = 286049568