What is the Least Common Multiple of 16874 and 16889?

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 16874 and 16889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16874 and 16889, than apply into the LCM equation.

GCF(16874,16889) = 1
LCM(16874,16889) = ( 16874 × 16889) / 1
LCM(16874,16889) = 284984986 / 1
LCM(16874,16889) = 284984986

Least Common Multiple (LCM) of 16874 and 16889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16874 and 16889. First we will calculate the prime factors of 16874 and 16889.

Prime Factorization of 16874

Prime Factorization of 16889

Now multiplying the highest exponent prime factors to calculate the LCM of 16874 and 16889.

LCM(16874,16889) = 2¹ × 11¹ × 13¹ × 59¹ × 16889¹
LCM(16874,16889) = 284984986