What is the Least Common Multiple of 16586 and 16600?

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 16586 and 16600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16586 and 16600, than apply into the LCM equation.

GCF(16586,16600) = 2
LCM(16586,16600) = ( 16586 × 16600) / 2
LCM(16586,16600) = 275327600 / 2
LCM(16586,16600) = 137663800

Least Common Multiple (LCM) of 16586 and 16600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16586 and 16600. First we will calculate the prime factors of 16586 and 16600.

Prime Factorization of 16586

Prime Factorization of 16600

Now multiplying the highest exponent prime factors to calculate the LCM of 16586 and 16600.

LCM(16586,16600) = 2³ × 8293¹ × 5² × 83¹
LCM(16586,16600) = 137663800