What is the Least Common Multiple of 9009 and 9027?

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 9009 and 9027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9009 and 9027, than apply into the LCM equation.

GCF(9009,9027) = 9
LCM(9009,9027) = ( 9009 × 9027) / 9
LCM(9009,9027) = 81324243 / 9
LCM(9009,9027) = 9036027

Least Common Multiple (LCM) of 9009 and 9027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9009 and 9027. First we will calculate the prime factors of 9009 and 9027.

Prime Factorization of 9009

Prime Factorization of 9027

Now multiplying the highest exponent prime factors to calculate the LCM of 9009 and 9027.

LCM(9009,9027) = 3² × 7¹ × 11¹ × 13¹ × 17¹ × 59¹
LCM(9009,9027) = 9036027