What is the Least Common Multiple of 98284 and 98296?

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 98284 and 98296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98284 and 98296, than apply into the LCM equation.

GCF(98284,98296) = 4
LCM(98284,98296) = ( 98284 × 98296) / 4
LCM(98284,98296) = 9660924064 / 4
LCM(98284,98296) = 2415231016

Least Common Multiple (LCM) of 98284 and 98296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98284 and 98296. First we will calculate the prime factors of 98284 and 98296.

Prime Factorization of 98284

Prime Factorization of 98296

Now multiplying the highest exponent prime factors to calculate the LCM of 98284 and 98296.

LCM(98284,98296) = 2³ × 24571¹ × 11¹ × 1117¹
LCM(98284,98296) = 2415231016