What is the Least Common Multiple of 16185 and 16192?

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 16185 and 16192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16185 and 16192, than apply into the LCM equation.

GCF(16185,16192) = 1
LCM(16185,16192) = ( 16185 × 16192) / 1
LCM(16185,16192) = 262067520 / 1
LCM(16185,16192) = 262067520

Least Common Multiple (LCM) of 16185 and 16192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16185 and 16192. First we will calculate the prime factors of 16185 and 16192.

Prime Factorization of 16185

Prime Factorization of 16192

Now multiplying the highest exponent prime factors to calculate the LCM of 16185 and 16192.

LCM(16185,16192) = 3¹ × 5¹ × 13¹ × 83¹ × 2⁶ × 11¹ × 23¹
LCM(16185,16192) = 262067520