What is the Least Common Multiple of 98144 and 98163?

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 98144 and 98163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98144 and 98163, than apply into the LCM equation.

GCF(98144,98163) = 1
LCM(98144,98163) = ( 98144 × 98163) / 1
LCM(98144,98163) = 9634109472 / 1
LCM(98144,98163) = 9634109472

Least Common Multiple (LCM) of 98144 and 98163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98144 and 98163. First we will calculate the prime factors of 98144 and 98163.

Prime Factorization of 98144

Prime Factorization of 98163

Now multiplying the highest exponent prime factors to calculate the LCM of 98144 and 98163.

LCM(98144,98163) = 2⁵ × 3067¹ × 3² × 13¹ × 839¹
LCM(98144,98163) = 9634109472