What is the Least Common Multiple of 9006 and 9024?

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 9006 and 9024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9006 and 9024, than apply into the LCM equation.

GCF(9006,9024) = 6
LCM(9006,9024) = ( 9006 × 9024) / 6
LCM(9006,9024) = 81270144 / 6
LCM(9006,9024) = 13545024

Least Common Multiple (LCM) of 9006 and 9024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9006 and 9024. First we will calculate the prime factors of 9006 and 9024.

Prime Factorization of 9006

Prime Factorization of 9024

Now multiplying the highest exponent prime factors to calculate the LCM of 9006 and 9024.

LCM(9006,9024) = 2⁶ × 3¹ × 19¹ × 79¹ × 47¹
LCM(9006,9024) = 13545024