What is the Least Common Multiple of 9174 and 9180?

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 9174 and 9180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9174 and 9180, than apply into the LCM equation.

GCF(9174,9180) = 6
LCM(9174,9180) = ( 9174 × 9180) / 6
LCM(9174,9180) = 84217320 / 6
LCM(9174,9180) = 14036220

Least Common Multiple (LCM) of 9174 and 9180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9174 and 9180. First we will calculate the prime factors of 9174 and 9180.

Prime Factorization of 9174

Prime Factorization of 9180

Now multiplying the highest exponent prime factors to calculate the LCM of 9174 and 9180.

LCM(9174,9180) = 2² × 3³ × 11¹ × 139¹ × 5¹ × 17¹
LCM(9174,9180) = 14036220