What is the Least Common Multiple of 98401 and 98420?

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 98420 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 98420, than apply into the LCM equation.

GCF(98401,98420) = 19
LCM(98401,98420) = ( 98401 × 98420) / 19
LCM(98401,98420) = 9684626420 / 19
LCM(98401,98420) = 509717180

Least Common Multiple (LCM) of 98401 and 98420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98401 and 98420. First we will calculate the prime factors of 98401 and 98420.

Prime Factorization of 98401

Prime Factorization of 98420

Now multiplying the highest exponent prime factors to calculate the LCM of 98401 and 98420.

LCM(98401,98420) = 19¹ × 5179¹ × 2² × 5¹ × 7¹ × 37¹
LCM(98401,98420) = 509717180