What is the Least Common Multiple of 99809 and 99822?

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 99809 and 99822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99809 and 99822, than apply into the LCM equation.

GCF(99809,99822) = 1
LCM(99809,99822) = ( 99809 × 99822) / 1
LCM(99809,99822) = 9963133998 / 1
LCM(99809,99822) = 9963133998

Least Common Multiple (LCM) of 99809 and 99822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99809 and 99822. First we will calculate the prime factors of 99809 and 99822.

Prime Factorization of 99809

Prime Factorization of 99822

Now multiplying the highest exponent prime factors to calculate the LCM of 99809 and 99822.

LCM(99809,99822) = 99809¹ × 2¹ × 3¹ × 127¹ × 131¹
LCM(99809,99822) = 9963133998