What is the Least Common Multiple of 16683 and 16699?

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 16683 and 16699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16683 and 16699, than apply into the LCM equation.

GCF(16683,16699) = 1
LCM(16683,16699) = ( 16683 × 16699) / 1
LCM(16683,16699) = 278589417 / 1
LCM(16683,16699) = 278589417

Least Common Multiple (LCM) of 16683 and 16699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16683 and 16699. First we will calculate the prime factors of 16683 and 16699.

Prime Factorization of 16683

Prime Factorization of 16699

Now multiplying the highest exponent prime factors to calculate the LCM of 16683 and 16699.

LCM(16683,16699) = 3¹ × 67¹ × 83¹ × 16699¹
LCM(16683,16699) = 278589417