What is the Least Common Multiple of 16669 and 16686?

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 16669 and 16686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16669 and 16686, than apply into the LCM equation.

GCF(16669,16686) = 1
LCM(16669,16686) = ( 16669 × 16686) / 1
LCM(16669,16686) = 278138934 / 1
LCM(16669,16686) = 278138934

Least Common Multiple (LCM) of 16669 and 16686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16669 and 16686. First we will calculate the prime factors of 16669 and 16686.

Prime Factorization of 16669

Prime Factorization of 16686

Now multiplying the highest exponent prime factors to calculate the LCM of 16669 and 16686.

LCM(16669,16686) = 79¹ × 211¹ × 2¹ × 3⁴ × 103¹
LCM(16669,16686) = 278138934