What is the Least Common Multiple of 9030 and 9045?

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 9030 and 9045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9030 and 9045, than apply into the LCM equation.

GCF(9030,9045) = 15
LCM(9030,9045) = ( 9030 × 9045) / 15
LCM(9030,9045) = 81676350 / 15
LCM(9030,9045) = 5445090

Least Common Multiple (LCM) of 9030 and 9045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9030 and 9045. First we will calculate the prime factors of 9030 and 9045.

Prime Factorization of 9030

Prime Factorization of 9045

Now multiplying the highest exponent prime factors to calculate the LCM of 9030 and 9045.

LCM(9030,9045) = 2¹ × 3³ × 5¹ × 7¹ × 43¹ × 67¹
LCM(9030,9045) = 5445090