What is the Least Common Multiple of 16867 and 16878?

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 16867 and 16878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16867 and 16878, than apply into the LCM equation.

GCF(16867,16878) = 1
LCM(16867,16878) = ( 16867 × 16878) / 1
LCM(16867,16878) = 284681226 / 1
LCM(16867,16878) = 284681226

Least Common Multiple (LCM) of 16867 and 16878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16867 and 16878. First we will calculate the prime factors of 16867 and 16878.

Prime Factorization of 16867

Prime Factorization of 16878

Now multiplying the highest exponent prime factors to calculate the LCM of 16867 and 16878.

LCM(16867,16878) = 101¹ × 167¹ × 2¹ × 3¹ × 29¹ × 97¹
LCM(16867,16878) = 284681226