What is the Least Common Multiple of 98400 and 98415?

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 98415 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 98415, than apply into the LCM equation.

GCF(98400,98415) = 15
LCM(98400,98415) = ( 98400 × 98415) / 15
LCM(98400,98415) = 9684036000 / 15
LCM(98400,98415) = 645602400

Least Common Multiple (LCM) of 98400 and 98415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98400 and 98415. First we will calculate the prime factors of 98400 and 98415.

Prime Factorization of 98400

Prime Factorization of 98415

Now multiplying the highest exponent prime factors to calculate the LCM of 98400 and 98415.

LCM(98400,98415) = 2⁵ × 3⁹ × 5² × 41¹
LCM(98400,98415) = 645602400