What is the Least Common Multiple of 98316 and 98333?

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 98316 and 98333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98316 and 98333, than apply into the LCM equation.

GCF(98316,98333) = 1
LCM(98316,98333) = ( 98316 × 98333) / 1
LCM(98316,98333) = 9667707228 / 1
LCM(98316,98333) = 9667707228

Least Common Multiple (LCM) of 98316 and 98333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98316 and 98333. First we will calculate the prime factors of 98316 and 98333.

Prime Factorization of 98316

Prime Factorization of 98333

Now multiplying the highest exponent prime factors to calculate the LCM of 98316 and 98333.

LCM(98316,98333) = 2² × 3² × 2731¹ × 107¹ × 919¹
LCM(98316,98333) = 9667707228