What is the Least Common Multiple of 98323 and 98341?

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 98323 and 98341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98323 and 98341, than apply into the LCM equation.

GCF(98323,98341) = 1
LCM(98323,98341) = ( 98323 × 98341) / 1
LCM(98323,98341) = 9669182143 / 1
LCM(98323,98341) = 9669182143

Least Common Multiple (LCM) of 98323 and 98341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98323 and 98341. First we will calculate the prime factors of 98323 and 98341.

Prime Factorization of 98323

Prime Factorization of 98341

Now multiplying the highest exponent prime factors to calculate the LCM of 98323 and 98341.

LCM(98323,98341) = 98323¹ × 43¹ × 2287¹
LCM(98323,98341) = 9669182143