What is the Least Common Multiple of 98239 and 98248?

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 98239 and 98248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98239 and 98248, than apply into the LCM equation.

GCF(98239,98248) = 1
LCM(98239,98248) = ( 98239 × 98248) / 1
LCM(98239,98248) = 9651785272 / 1
LCM(98239,98248) = 9651785272

Least Common Multiple (LCM) of 98239 and 98248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98239 and 98248. First we will calculate the prime factors of 98239 and 98248.

Prime Factorization of 98239

Prime Factorization of 98248

Now multiplying the highest exponent prime factors to calculate the LCM of 98239 and 98248.

LCM(98239,98248) = 31¹ × 3169¹ × 2³ × 12281¹
LCM(98239,98248) = 9651785272