What is the Least Common Multiple of 16369 and 16386?

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 16369 and 16386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16369 and 16386, than apply into the LCM equation.

GCF(16369,16386) = 1
LCM(16369,16386) = ( 16369 × 16386) / 1
LCM(16369,16386) = 268222434 / 1
LCM(16369,16386) = 268222434

Least Common Multiple (LCM) of 16369 and 16386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16369 and 16386. First we will calculate the prime factors of 16369 and 16386.

Prime Factorization of 16369

Prime Factorization of 16386

Now multiplying the highest exponent prime factors to calculate the LCM of 16369 and 16386.

LCM(16369,16386) = 16369¹ × 2¹ × 3¹ × 2731¹
LCM(16369,16386) = 268222434