What is the Least Common Multiple of 98336 and 98349?

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 98336 and 98349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98336 and 98349, than apply into the LCM equation.

GCF(98336,98349) = 1
LCM(98336,98349) = ( 98336 × 98349) / 1
LCM(98336,98349) = 9671247264 / 1
LCM(98336,98349) = 9671247264

Least Common Multiple (LCM) of 98336 and 98349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98336 and 98349. First we will calculate the prime factors of 98336 and 98349.

Prime Factorization of 98336

Prime Factorization of 98349

Now multiplying the highest exponent prime factors to calculate the LCM of 98336 and 98349.

LCM(98336,98349) = 2⁵ × 7¹ × 439¹ × 3¹ × 32783¹
LCM(98336,98349) = 9671247264