What is the Least Common Multiple of 43816 and 43833?

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 43816 and 43833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43816 and 43833, than apply into the LCM equation.

GCF(43816,43833) = 1
LCM(43816,43833) = ( 43816 × 43833) / 1
LCM(43816,43833) = 1920586728 / 1
LCM(43816,43833) = 1920586728

Least Common Multiple (LCM) of 43816 and 43833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43816 and 43833. First we will calculate the prime factors of 43816 and 43833.

Prime Factorization of 43816

Prime Factorization of 43833

Now multiplying the highest exponent prime factors to calculate the LCM of 43816 and 43833.

LCM(43816,43833) = 2³ × 5477¹ × 3¹ × 19¹ × 769¹
LCM(43816,43833) = 1920586728