What is the Least Common Multiple of 43889 and 43903?

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 43889 and 43903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43889 and 43903, than apply into the LCM equation.

GCF(43889,43903) = 1
LCM(43889,43903) = ( 43889 × 43903) / 1
LCM(43889,43903) = 1926858767 / 1
LCM(43889,43903) = 1926858767

Least Common Multiple (LCM) of 43889 and 43903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43889 and 43903. First we will calculate the prime factors of 43889 and 43903.

Prime Factorization of 43889

Prime Factorization of 43903

Now multiplying the highest exponent prime factors to calculate the LCM of 43889 and 43903.

LCM(43889,43903) = 43889¹ × 43¹ × 1021¹
LCM(43889,43903) = 1926858767