What is the Least Common Multiple of 43825 and 43843?

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 43825 and 43843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43825 and 43843, than apply into the LCM equation.

GCF(43825,43843) = 1
LCM(43825,43843) = ( 43825 × 43843) / 1
LCM(43825,43843) = 1921419475 / 1
LCM(43825,43843) = 1921419475

Least Common Multiple (LCM) of 43825 and 43843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43825 and 43843. First we will calculate the prime factors of 43825 and 43843.

Prime Factorization of 43825

Prime Factorization of 43843

Now multiplying the highest exponent prime factors to calculate the LCM of 43825 and 43843.

LCM(43825,43843) = 5² × 1753¹ × 17¹ × 2579¹
LCM(43825,43843) = 1921419475