What is the Least Common Multiple of 96822 and 96833?

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 96822 and 96833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96822 and 96833, than apply into the LCM equation.

GCF(96822,96833) = 11
LCM(96822,96833) = ( 96822 × 96833) / 11
LCM(96822,96833) = 9375564726 / 11
LCM(96822,96833) = 852324066

Least Common Multiple (LCM) of 96822 and 96833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96822 and 96833. First we will calculate the prime factors of 96822 and 96833.

Prime Factorization of 96822

Prime Factorization of 96833

Now multiplying the highest exponent prime factors to calculate the LCM of 96822 and 96833.

LCM(96822,96833) = 2¹ × 3³ × 11¹ × 163¹ × 8803¹
LCM(96822,96833) = 852324066