What is the Least Common Multiple of 13600 and 13606?

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 13600 and 13606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13600 and 13606, than apply into the LCM equation.

GCF(13600,13606) = 2
LCM(13600,13606) = ( 13600 × 13606) / 2
LCM(13600,13606) = 185041600 / 2
LCM(13600,13606) = 92520800

Least Common Multiple (LCM) of 13600 and 13606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13600 and 13606. First we will calculate the prime factors of 13600 and 13606.

Prime Factorization of 13600

Prime Factorization of 13606

Now multiplying the highest exponent prime factors to calculate the LCM of 13600 and 13606.

LCM(13600,13606) = 2⁵ × 5² × 17¹ × 6803¹
LCM(13600,13606) = 92520800