What is the Least Common Multiple of 16172 and 16191?

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 16172 and 16191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16172 and 16191, than apply into the LCM equation.

GCF(16172,16191) = 1
LCM(16172,16191) = ( 16172 × 16191) / 1
LCM(16172,16191) = 261840852 / 1
LCM(16172,16191) = 261840852

Least Common Multiple (LCM) of 16172 and 16191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16172 and 16191. First we will calculate the prime factors of 16172 and 16191.

Prime Factorization of 16172

Prime Factorization of 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 16172 and 16191.

LCM(16172,16191) = 2² × 13¹ × 311¹ × 3² × 7¹ × 257¹
LCM(16172,16191) = 261840852