What is the Least Common Multiple of 17874 and 17889?

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 17874 and 17889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17874 and 17889, than apply into the LCM equation.

GCF(17874,17889) = 3
LCM(17874,17889) = ( 17874 × 17889) / 3
LCM(17874,17889) = 319747986 / 3
LCM(17874,17889) = 106582662

Least Common Multiple (LCM) of 17874 and 17889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17874 and 17889. First we will calculate the prime factors of 17874 and 17889.

Prime Factorization of 17874

Prime Factorization of 17889

Now multiplying the highest exponent prime factors to calculate the LCM of 17874 and 17889.

LCM(17874,17889) = 2¹ × 3³ × 331¹ × 67¹ × 89¹
LCM(17874,17889) = 106582662