What is the Least Common Multiple of 98848 and 98865?

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 98848 and 98865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98848 and 98865, than apply into the LCM equation.

GCF(98848,98865) = 1
LCM(98848,98865) = ( 98848 × 98865) / 1
LCM(98848,98865) = 9772607520 / 1
LCM(98848,98865) = 9772607520

Least Common Multiple (LCM) of 98848 and 98865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98848 and 98865. First we will calculate the prime factors of 98848 and 98865.

Prime Factorization of 98848

Prime Factorization of 98865

Now multiplying the highest exponent prime factors to calculate the LCM of 98848 and 98865.

LCM(98848,98865) = 2⁵ × 3089¹ × 3² × 5¹ × 13³
LCM(98848,98865) = 9772607520