What is the Least Common Multiple of 99321 and 99341?

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 99321 and 99341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99321 and 99341, than apply into the LCM equation.

GCF(99321,99341) = 1
LCM(99321,99341) = ( 99321 × 99341) / 1
LCM(99321,99341) = 9866647461 / 1
LCM(99321,99341) = 9866647461

Least Common Multiple (LCM) of 99321 and 99341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99321 and 99341. First we will calculate the prime factors of 99321 and 99341.

Prime Factorization of 99321

Prime Factorization of 99341

Now multiplying the highest exponent prime factors to calculate the LCM of 99321 and 99341.

LCM(99321,99341) = 3¹ × 33107¹ × 11² × 821¹
LCM(99321,99341) = 9866647461