What is the Least Common Multiple of 98335 and 98348?

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 98335 and 98348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98335 and 98348, than apply into the LCM equation.

GCF(98335,98348) = 1
LCM(98335,98348) = ( 98335 × 98348) / 1
LCM(98335,98348) = 9671050580 / 1
LCM(98335,98348) = 9671050580

Least Common Multiple (LCM) of 98335 and 98348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98335 and 98348. First we will calculate the prime factors of 98335 and 98348.

Prime Factorization of 98335

Prime Factorization of 98348

Now multiplying the highest exponent prime factors to calculate the LCM of 98335 and 98348.

LCM(98335,98348) = 5¹ × 71¹ × 277¹ × 2² × 23¹ × 1069¹
LCM(98335,98348) = 9671050580