What is the Least Common Multiple of 98793 and 98808?

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 98793 and 98808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98793 and 98808, than apply into the LCM equation.

GCF(98793,98808) = 3
LCM(98793,98808) = ( 98793 × 98808) / 3
LCM(98793,98808) = 9761538744 / 3
LCM(98793,98808) = 3253846248

Least Common Multiple (LCM) of 98793 and 98808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98793 and 98808. First we will calculate the prime factors of 98793 and 98808.

Prime Factorization of 98793

Prime Factorization of 98808

Now multiplying the highest exponent prime factors to calculate the LCM of 98793 and 98808.

LCM(98793,98808) = 3³ × 3659¹ × 2³ × 23¹ × 179¹
LCM(98793,98808) = 3253846248