What is the Least Common Multiple of 43824 and 43840?

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 43840 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 43840, than apply into the LCM equation.

GCF(43824,43840) = 16
LCM(43824,43840) = ( 43824 × 43840) / 16
LCM(43824,43840) = 1921244160 / 16
LCM(43824,43840) = 120077760

Least Common Multiple (LCM) of 43824 and 43840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43824 and 43840. First we will calculate the prime factors of 43824 and 43840.

Prime Factorization of 43824

Prime Factorization of 43840

Now multiplying the highest exponent prime factors to calculate the LCM of 43824 and 43840.

LCM(43824,43840) = 2⁶ × 3¹ × 11¹ × 83¹ × 5¹ × 137¹
LCM(43824,43840) = 120077760