What is the Least Common Multiple of 98835 and 98845?

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 98835 and 98845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98835 and 98845, than apply into the LCM equation.

GCF(98835,98845) = 5
LCM(98835,98845) = ( 98835 × 98845) / 5
LCM(98835,98845) = 9769345575 / 5
LCM(98835,98845) = 1953869115

Least Common Multiple (LCM) of 98835 and 98845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98835 and 98845. First we will calculate the prime factors of 98835 and 98845.

Prime Factorization of 98835

Prime Factorization of 98845

Now multiplying the highest exponent prime factors to calculate the LCM of 98835 and 98845.

LCM(98835,98845) = 3¹ × 5¹ × 11¹ × 599¹ × 53¹ × 373¹
LCM(98835,98845) = 1953869115