What is the Least Common Multiple of 99822 and 99831?

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 99822 and 99831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99822 and 99831, than apply into the LCM equation.

GCF(99822,99831) = 3
LCM(99822,99831) = ( 99822 × 99831) / 3
LCM(99822,99831) = 9965330082 / 3
LCM(99822,99831) = 3321776694

Least Common Multiple (LCM) of 99822 and 99831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99822 and 99831. First we will calculate the prime factors of 99822 and 99831.

Prime Factorization of 99822

Prime Factorization of 99831

Now multiplying the highest exponent prime factors to calculate the LCM of 99822 and 99831.

LCM(99822,99831) = 2¹ × 3¹ × 127¹ × 131¹ × 107¹ × 311¹
LCM(99822,99831) = 3321776694