What is the Least Common Multiple of 18048 and 18054?

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 18048 and 18054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18048 and 18054, than apply into the LCM equation.

GCF(18048,18054) = 6
LCM(18048,18054) = ( 18048 × 18054) / 6
LCM(18048,18054) = 325838592 / 6
LCM(18048,18054) = 54306432

Least Common Multiple (LCM) of 18048 and 18054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18048 and 18054. First we will calculate the prime factors of 18048 and 18054.

Prime Factorization of 18048

Prime Factorization of 18054

Now multiplying the highest exponent prime factors to calculate the LCM of 18048 and 18054.

LCM(18048,18054) = 2⁷ × 3² × 47¹ × 17¹ × 59¹
LCM(18048,18054) = 54306432