What is the Least Common Multiple of 16791 and 16807?

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 16791 and 16807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16791 and 16807, than apply into the LCM equation.

GCF(16791,16807) = 1
LCM(16791,16807) = ( 16791 × 16807) / 1
LCM(16791,16807) = 282206337 / 1
LCM(16791,16807) = 282206337

Least Common Multiple (LCM) of 16791 and 16807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16791 and 16807. First we will calculate the prime factors of 16791 and 16807.

Prime Factorization of 16791

Prime Factorization of 16807

Now multiplying the highest exponent prime factors to calculate the LCM of 16791 and 16807.

LCM(16791,16807) = 3¹ × 29¹ × 193¹ × 7⁵
LCM(16791,16807) = 282206337