What is the Least Common Multiple of 43824 and 43828?

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 43824 and 43828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43824 and 43828, than apply into the LCM equation.

GCF(43824,43828) = 4
LCM(43824,43828) = ( 43824 × 43828) / 4
LCM(43824,43828) = 1920718272 / 4
LCM(43824,43828) = 480179568

Least Common Multiple (LCM) of 43824 and 43828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43824 and 43828. First we will calculate the prime factors of 43824 and 43828.

Prime Factorization of 43824

Prime Factorization of 43828

Now multiplying the highest exponent prime factors to calculate the LCM of 43824 and 43828.

LCM(43824,43828) = 2⁴ × 3¹ × 11¹ × 83¹ × 10957¹
LCM(43824,43828) = 480179568