What is the Least Common Multiple of 98251 and 98256?

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 98251 and 98256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98251 and 98256, than apply into the LCM equation.

GCF(98251,98256) = 1
LCM(98251,98256) = ( 98251 × 98256) / 1
LCM(98251,98256) = 9653750256 / 1
LCM(98251,98256) = 9653750256

Least Common Multiple (LCM) of 98251 and 98256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98251 and 98256. First we will calculate the prime factors of 98251 and 98256.

Prime Factorization of 98251

Prime Factorization of 98256

Now multiplying the highest exponent prime factors to calculate the LCM of 98251 and 98256.

LCM(98251,98256) = 98251¹ × 2⁴ × 3¹ × 23¹ × 89¹
LCM(98251,98256) = 9653750256