What is the Least Common Multiple of 99894 and 99906?

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 99894 and 99906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99894 and 99906, than apply into the LCM equation.

GCF(99894,99906) = 6
LCM(99894,99906) = ( 99894 × 99906) / 6
LCM(99894,99906) = 9980009964 / 6
LCM(99894,99906) = 1663334994

Least Common Multiple (LCM) of 99894 and 99906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99894 and 99906. First we will calculate the prime factors of 99894 and 99906.

Prime Factorization of 99894

Prime Factorization of 99906

Now multiplying the highest exponent prime factors to calculate the LCM of 99894 and 99906.

LCM(99894,99906) = 2¹ × 3¹ × 16649¹ × 16651¹
LCM(99894,99906) = 1663334994