What is the Least Common Multiple of 17889 and 17905?

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 17889 and 17905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17889 and 17905, than apply into the LCM equation.

GCF(17889,17905) = 1
LCM(17889,17905) = ( 17889 × 17905) / 1
LCM(17889,17905) = 320302545 / 1
LCM(17889,17905) = 320302545

Least Common Multiple (LCM) of 17889 and 17905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17889 and 17905. First we will calculate the prime factors of 17889 and 17905.

Prime Factorization of 17889

Prime Factorization of 17905

Now multiplying the highest exponent prime factors to calculate the LCM of 17889 and 17905.

LCM(17889,17905) = 3¹ × 67¹ × 89¹ × 5¹ × 3581¹
LCM(17889,17905) = 320302545