What is the Least Common Multiple of 99009 and 99027?

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 99009 and 99027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99009 and 99027, than apply into the LCM equation.

GCF(99009,99027) = 9
LCM(99009,99027) = ( 99009 × 99027) / 9
LCM(99009,99027) = 9804564243 / 9
LCM(99009,99027) = 1089396027

Least Common Multiple (LCM) of 99009 and 99027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99009 and 99027. First we will calculate the prime factors of 99009 and 99027.

Prime Factorization of 99009

Prime Factorization of 99027

Now multiplying the highest exponent prime factors to calculate the LCM of 99009 and 99027.

LCM(99009,99027) = 3³ × 19¹ × 193¹ × 11003¹
LCM(99009,99027) = 1089396027