What is the Least Common Multiple of 98423 and 98441?

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 98423 and 98441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98423 and 98441, than apply into the LCM equation.

GCF(98423,98441) = 1
LCM(98423,98441) = ( 98423 × 98441) / 1
LCM(98423,98441) = 9688858543 / 1
LCM(98423,98441) = 9688858543

Least Common Multiple (LCM) of 98423 and 98441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98423 and 98441. First we will calculate the prime factors of 98423 and 98441.

Prime Factorization of 98423

Prime Factorization of 98441

Now multiplying the highest exponent prime factors to calculate the LCM of 98423 and 98441.

LCM(98423,98441) = 13¹ × 67¹ × 113¹ × 7⁴ × 41¹
LCM(98423,98441) = 9688858543