What is the Least Common Multiple of 18144 and 18160?

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 18144 and 18160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18144 and 18160, than apply into the LCM equation.

GCF(18144,18160) = 16
LCM(18144,18160) = ( 18144 × 18160) / 16
LCM(18144,18160) = 329495040 / 16
LCM(18144,18160) = 20593440

Least Common Multiple (LCM) of 18144 and 18160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18144 and 18160. First we will calculate the prime factors of 18144 and 18160.

Prime Factorization of 18144

Prime Factorization of 18160

Now multiplying the highest exponent prime factors to calculate the LCM of 18144 and 18160.

LCM(18144,18160) = 2⁵ × 3⁴ × 7¹ × 5¹ × 227¹
LCM(18144,18160) = 20593440