What is the Least Common Multiple of 99906 and 99926?

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 99906 and 99926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99906 and 99926, than apply into the LCM equation.

GCF(99906,99926) = 2
LCM(99906,99926) = ( 99906 × 99926) / 2
LCM(99906,99926) = 9983206956 / 2
LCM(99906,99926) = 4991603478

Least Common Multiple (LCM) of 99906 and 99926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99906 and 99926. First we will calculate the prime factors of 99906 and 99926.

Prime Factorization of 99906

Prime Factorization of 99926

Now multiplying the highest exponent prime factors to calculate the LCM of 99906 and 99926.

LCM(99906,99926) = 2¹ × 3¹ × 16651¹ × 17¹ × 2939¹
LCM(99906,99926) = 4991603478