What is the Least Common Multiple of 99309 and 99321?

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 99309 and 99321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99309 and 99321, than apply into the LCM equation.

GCF(99309,99321) = 3
LCM(99309,99321) = ( 99309 × 99321) / 3
LCM(99309,99321) = 9863469189 / 3
LCM(99309,99321) = 3287823063

Least Common Multiple (LCM) of 99309 and 99321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99309 and 99321. First we will calculate the prime factors of 99309 and 99321.

Prime Factorization of 99309

Prime Factorization of 99321

Now multiplying the highest exponent prime factors to calculate the LCM of 99309 and 99321.

LCM(99309,99321) = 3¹ × 7¹ × 4729¹ × 33107¹
LCM(99309,99321) = 3287823063