What is the Least Common Multiple of 16875 and 16893?

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 16875 and 16893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16875 and 16893, than apply into the LCM equation.

GCF(16875,16893) = 9
LCM(16875,16893) = ( 16875 × 16893) / 9
LCM(16875,16893) = 285069375 / 9
LCM(16875,16893) = 31674375

Least Common Multiple (LCM) of 16875 and 16893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16875 and 16893. First we will calculate the prime factors of 16875 and 16893.

Prime Factorization of 16875

Prime Factorization of 16893

Now multiplying the highest exponent prime factors to calculate the LCM of 16875 and 16893.

LCM(16875,16893) = 3³ × 5⁴ × 1877¹
LCM(16875,16893) = 31674375