What is the Least Common Multiple of 98440 and 98459?

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 98440 and 98459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98440 and 98459, than apply into the LCM equation.

GCF(98440,98459) = 1
LCM(98440,98459) = ( 98440 × 98459) / 1
LCM(98440,98459) = 9692303960 / 1
LCM(98440,98459) = 9692303960

Least Common Multiple (LCM) of 98440 and 98459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98440 and 98459. First we will calculate the prime factors of 98440 and 98459.

Prime Factorization of 98440

Prime Factorization of 98459

Now multiplying the highest exponent prime factors to calculate the LCM of 98440 and 98459.

LCM(98440,98459) = 2³ × 5¹ × 23¹ × 107¹ × 98459¹
LCM(98440,98459) = 9692303960