What is the Least Common Multiple of 18048 and 18064?

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 18064 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 18064, than apply into the LCM equation.

GCF(18048,18064) = 16
LCM(18048,18064) = ( 18048 × 18064) / 16
LCM(18048,18064) = 326019072 / 16
LCM(18048,18064) = 20376192

Least Common Multiple (LCM) of 18048 and 18064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18048 and 18064. First we will calculate the prime factors of 18048 and 18064.

Prime Factorization of 18048

Prime Factorization of 18064

Now multiplying the highest exponent prime factors to calculate the LCM of 18048 and 18064.

LCM(18048,18064) = 2⁷ × 3¹ × 47¹ × 1129¹
LCM(18048,18064) = 20376192