What is the Least Common Multiple of 18030 and 18045?

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 18030 and 18045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18030 and 18045, than apply into the LCM equation.

GCF(18030,18045) = 15
LCM(18030,18045) = ( 18030 × 18045) / 15
LCM(18030,18045) = 325351350 / 15
LCM(18030,18045) = 21690090

Least Common Multiple (LCM) of 18030 and 18045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18030 and 18045. First we will calculate the prime factors of 18030 and 18045.

Prime Factorization of 18030

Prime Factorization of 18045

Now multiplying the highest exponent prime factors to calculate the LCM of 18030 and 18045.

LCM(18030,18045) = 2¹ × 3² × 5¹ × 601¹ × 401¹
LCM(18030,18045) = 21690090