What is the Least Common Multiple of 98331 and 98343?

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 98331 and 98343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98331 and 98343, than apply into the LCM equation.

GCF(98331,98343) = 3
LCM(98331,98343) = ( 98331 × 98343) / 3
LCM(98331,98343) = 9670165533 / 3
LCM(98331,98343) = 3223388511

Least Common Multiple (LCM) of 98331 and 98343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98331 and 98343. First we will calculate the prime factors of 98331 and 98343.

Prime Factorization of 98331

Prime Factorization of 98343

Now multiplying the highest exponent prime factors to calculate the LCM of 98331 and 98343.

LCM(98331,98343) = 3² × 73¹ × 449¹ × 7² × 223¹
LCM(98331,98343) = 3223388511