What is the Least Common Multiple of 98401 and 98414?

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 98401 and 98414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98401 and 98414, than apply into the LCM equation.

GCF(98401,98414) = 1
LCM(98401,98414) = ( 98401 × 98414) / 1
LCM(98401,98414) = 9684036014 / 1
LCM(98401,98414) = 9684036014

Least Common Multiple (LCM) of 98401 and 98414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98401 and 98414. First we will calculate the prime factors of 98401 and 98414.

Prime Factorization of 98401

Prime Factorization of 98414

Now multiplying the highest exponent prime factors to calculate the LCM of 98401 and 98414.

LCM(98401,98414) = 19¹ × 5179¹ × 2¹ × 49207¹
LCM(98401,98414) = 9684036014