What is the Least Common Multiple of 9180 and 9184?

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 9180 and 9184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9180 and 9184, than apply into the LCM equation.

GCF(9180,9184) = 4
LCM(9180,9184) = ( 9180 × 9184) / 4
LCM(9180,9184) = 84309120 / 4
LCM(9180,9184) = 21077280

Least Common Multiple (LCM) of 9180 and 9184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9180 and 9184. First we will calculate the prime factors of 9180 and 9184.

Prime Factorization of 9180

Prime Factorization of 9184

Now multiplying the highest exponent prime factors to calculate the LCM of 9180 and 9184.

LCM(9180,9184) = 2⁵ × 3³ × 5¹ × 17¹ × 7¹ × 41¹
LCM(9180,9184) = 21077280