What is the Least Common Multiple of 16160 and 16171?

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 16160 and 16171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16160 and 16171, than apply into the LCM equation.

GCF(16160,16171) = 1
LCM(16160,16171) = ( 16160 × 16171) / 1
LCM(16160,16171) = 261323360 / 1
LCM(16160,16171) = 261323360

Least Common Multiple (LCM) of 16160 and 16171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16160 and 16171. First we will calculate the prime factors of 16160 and 16171.

Prime Factorization of 16160

Prime Factorization of 16171

Now multiplying the highest exponent prime factors to calculate the LCM of 16160 and 16171.

LCM(16160,16171) = 2⁵ × 5¹ × 101¹ × 103¹ × 157¹
LCM(16160,16171) = 261323360