What is the Least Common Multiple of 99003 and 99009?

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 99003 and 99009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99003 and 99009, than apply into the LCM equation.

GCF(99003,99009) = 3
LCM(99003,99009) = ( 99003 × 99009) / 3
LCM(99003,99009) = 9802188027 / 3
LCM(99003,99009) = 3267396009

Least Common Multiple (LCM) of 99003 and 99009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99003 and 99009. First we will calculate the prime factors of 99003 and 99009.

Prime Factorization of 99003

Prime Factorization of 99009

Now multiplying the highest exponent prime factors to calculate the LCM of 99003 and 99009.

LCM(99003,99009) = 3³ × 61¹ × 541¹ × 19¹ × 193¹
LCM(99003,99009) = 3267396009