What is the Least Common Multiple of 16689 and 16706?

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 16706 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 16706, than apply into the LCM equation.

GCF(16689,16706) = 1
LCM(16689,16706) = ( 16689 × 16706) / 1
LCM(16689,16706) = 278806434 / 1
LCM(16689,16706) = 278806434

Least Common Multiple (LCM) of 16689 and 16706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16689 and 16706. First we will calculate the prime factors of 16689 and 16706.

Prime Factorization of 16689

Prime Factorization of 16706

Now multiplying the highest exponent prime factors to calculate the LCM of 16689 and 16706.

LCM(16689,16706) = 3¹ × 5563¹ × 2¹ × 8353¹
LCM(16689,16706) = 278806434