What is the Least Common Multiple of 99801 and 99813?

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 99801 and 99813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99801 and 99813, than apply into the LCM equation.

GCF(99801,99813) = 3
LCM(99801,99813) = ( 99801 × 99813) / 3
LCM(99801,99813) = 9961437213 / 3
LCM(99801,99813) = 3320479071

Least Common Multiple (LCM) of 99801 and 99813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99801 and 99813. First we will calculate the prime factors of 99801 and 99813.

Prime Factorization of 99801

Prime Factorization of 99813

Now multiplying the highest exponent prime factors to calculate the LCM of 99801 and 99813.

LCM(99801,99813) = 3² × 13¹ × 853¹ × 7³ × 97¹
LCM(99801,99813) = 3320479071