What is the Least Common Multiple of 16031 and 16045?

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 16031 and 16045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16031 and 16045, than apply into the LCM equation.

GCF(16031,16045) = 1
LCM(16031,16045) = ( 16031 × 16045) / 1
LCM(16031,16045) = 257217395 / 1
LCM(16031,16045) = 257217395

Least Common Multiple (LCM) of 16031 and 16045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16031 and 16045. First we will calculate the prime factors of 16031 and 16045.

Prime Factorization of 16031

Prime Factorization of 16045

Now multiplying the highest exponent prime factors to calculate the LCM of 16031 and 16045.

LCM(16031,16045) = 17¹ × 23¹ × 41¹ × 5¹ × 3209¹
LCM(16031,16045) = 257217395