What is the Least Common Multiple of 14144 and 14161?

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 14144 and 14161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14144 and 14161, than apply into the LCM equation.

GCF(14144,14161) = 17
LCM(14144,14161) = ( 14144 × 14161) / 17
LCM(14144,14161) = 200293184 / 17
LCM(14144,14161) = 11781952

Least Common Multiple (LCM) of 14144 and 14161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14144 and 14161. First we will calculate the prime factors of 14144 and 14161.

Prime Factorization of 14144

Prime Factorization of 14161

Now multiplying the highest exponent prime factors to calculate the LCM of 14144 and 14161.

LCM(14144,14161) = 2⁶ × 13¹ × 17² × 7²
LCM(14144,14161) = 11781952