GCF and LCM Calculator Logo

What is the Least Common Multiple of 16801 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 (LCM) of 16801 and 16807 is 282374407.

LCM(16801,16807) = 282374407

LCM Calculator and
and

Least Common Multiple of 16801 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 16801 and 16807, than apply into the LCM equation.

GCF(16801,16807) = 1
LCM(16801,16807) = ( 16801 × 16807) / 1
LCM(16801,16807) = 282374407 / 1
LCM(16801,16807) = 282374407

Least Common Multiple (LCM) of 16801 and 16807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16801 and 16807. First we will calculate the prime factors of 16801 and 16807.

Prime Factorization of 16801

Prime factors of 16801 are 53, 317. Prime factorization of 16801 in exponential form is:

16801 = 531 × 3171

Prime Factorization of 16807

Prime factors of 16807 are 7. Prime factorization of 16807 in exponential form is:

16807 = 75

Now multiplying the highest exponent prime factors to calculate the LCM of 16801 and 16807.

LCM(16801,16807) = 531 × 3171 × 75
LCM(16801,16807) = 282374407