What is the Least Common Multiple of 9009 and 9023?

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 9023 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 9023, than apply into the LCM equation.

GCF(9009,9023) = 7
LCM(9009,9023) = ( 9009 × 9023) / 7
LCM(9009,9023) = 81288207 / 7
LCM(9009,9023) = 11612601

Least Common Multiple (LCM) of 9009 and 9023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9009 and 9023. First we will calculate the prime factors of 9009 and 9023.

Prime Factorization of 9009

Prime Factorization of 9023

Now multiplying the highest exponent prime factors to calculate the LCM of 9009 and 9023.

LCM(9009,9023) = 3² × 7¹ × 11¹ × 13¹ × 1289¹
LCM(9009,9023) = 11612601