What is the Least Common Multiple of 99399 and 99405?

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 99399 and 99405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99399 and 99405, than apply into the LCM equation.

GCF(99399,99405) = 3
LCM(99399,99405) = ( 99399 × 99405) / 3
LCM(99399,99405) = 9880757595 / 3
LCM(99399,99405) = 3293585865

Least Common Multiple (LCM) of 99399 and 99405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99399 and 99405. First we will calculate the prime factors of 99399 and 99405.

Prime Factorization of 99399

Prime Factorization of 99405

Now multiplying the highest exponent prime factors to calculate the LCM of 99399 and 99405.

LCM(99399,99405) = 3² × 17¹ × 1949¹ × 5¹ × 47²
LCM(99399,99405) = 3293585865