What is the Least Common Multiple of 18054 and 18071?

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 18054 and 18071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18054 and 18071, than apply into the LCM equation.

GCF(18054,18071) = 17
LCM(18054,18071) = ( 18054 × 18071) / 17
LCM(18054,18071) = 326253834 / 17
LCM(18054,18071) = 19191402

Least Common Multiple (LCM) of 18054 and 18071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18054 and 18071. First we will calculate the prime factors of 18054 and 18071.

Prime Factorization of 18054

Prime Factorization of 18071

Now multiplying the highest exponent prime factors to calculate the LCM of 18054 and 18071.

LCM(18054,18071) = 2¹ × 3² × 17¹ × 59¹ × 1063¹
LCM(18054,18071) = 19191402