What is the Least Common Multiple of 98469 and 98481?

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 98469 and 98481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98469 and 98481, than apply into the LCM equation.

GCF(98469,98481) = 3
LCM(98469,98481) = ( 98469 × 98481) / 3
LCM(98469,98481) = 9697325589 / 3
LCM(98469,98481) = 3232441863

Least Common Multiple (LCM) of 98469 and 98481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98469 and 98481. First we will calculate the prime factors of 98469 and 98481.

Prime Factorization of 98469

Prime Factorization of 98481

Now multiplying the highest exponent prime factors to calculate the LCM of 98469 and 98481.

LCM(98469,98481) = 3³ × 7¹ × 521¹ × 17¹ × 1931¹
LCM(98469,98481) = 3232441863