What is the Least Common Multiple of 16191 and 16199?

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 16191 and 16199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16191 and 16199, than apply into the LCM equation.

GCF(16191,16199) = 1
LCM(16191,16199) = ( 16191 × 16199) / 1
LCM(16191,16199) = 262278009 / 1
LCM(16191,16199) = 262278009

Least Common Multiple (LCM) of 16191 and 16199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16191 and 16199. First we will calculate the prime factors of 16191 and 16199.

Prime Factorization of 16191

Prime Factorization of 16199

Now multiplying the highest exponent prime factors to calculate the LCM of 16191 and 16199.

LCM(16191,16199) = 3² × 7¹ × 257¹ × 97¹ × 167¹
LCM(16191,16199) = 262278009