What is the Least Common Multiple of 43815 and 43824?

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 43815 and 43824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43815 and 43824, than apply into the LCM equation.

GCF(43815,43824) = 3
LCM(43815,43824) = ( 43815 × 43824) / 3
LCM(43815,43824) = 1920148560 / 3
LCM(43815,43824) = 640049520

Least Common Multiple (LCM) of 43815 and 43824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43815 and 43824. First we will calculate the prime factors of 43815 and 43824.

Prime Factorization of 43815

Prime Factorization of 43824

Now multiplying the highest exponent prime factors to calculate the LCM of 43815 and 43824.

LCM(43815,43824) = 3¹ × 5¹ × 23¹ × 127¹ × 2⁴ × 11¹ × 83¹
LCM(43815,43824) = 640049520