What is the Least Common Multiple of 18045 and 18063?

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 18045 and 18063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18045 and 18063, than apply into the LCM equation.

GCF(18045,18063) = 9
LCM(18045,18063) = ( 18045 × 18063) / 9
LCM(18045,18063) = 325946835 / 9
LCM(18045,18063) = 36216315

Least Common Multiple (LCM) of 18045 and 18063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18045 and 18063. First we will calculate the prime factors of 18045 and 18063.

Prime Factorization of 18045

Prime Factorization of 18063

Now multiplying the highest exponent prime factors to calculate the LCM of 18045 and 18063.

LCM(18045,18063) = 3⁴ × 5¹ × 401¹ × 223¹
LCM(18045,18063) = 36216315