What is the Least Common Multiple of 98400 and 98418?

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 98400 and 98418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98400 and 98418, than apply into the LCM equation.

GCF(98400,98418) = 6
LCM(98400,98418) = ( 98400 × 98418) / 6
LCM(98400,98418) = 9684331200 / 6
LCM(98400,98418) = 1614055200

Least Common Multiple (LCM) of 98400 and 98418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98400 and 98418. First we will calculate the prime factors of 98400 and 98418.

Prime Factorization of 98400

Prime Factorization of 98418

Now multiplying the highest exponent prime factors to calculate the LCM of 98400 and 98418.

LCM(98400,98418) = 2⁵ × 3¹ × 5² × 41¹ × 47¹ × 349¹
LCM(98400,98418) = 1614055200