What is the Least Common Multiple of 16689 and 16697?

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 16689 and 16697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16689 and 16697, than apply into the LCM equation.

GCF(16689,16697) = 1
LCM(16689,16697) = ( 16689 × 16697) / 1
LCM(16689,16697) = 278656233 / 1
LCM(16689,16697) = 278656233

Least Common Multiple (LCM) of 16689 and 16697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16689 and 16697. First we will calculate the prime factors of 16689 and 16697.

Prime Factorization of 16689

Prime Factorization of 16697

Now multiplying the highest exponent prime factors to calculate the LCM of 16689 and 16697.

LCM(16689,16697) = 3¹ × 5563¹ × 59¹ × 283¹
LCM(16689,16697) = 278656233