What is the Least Common Multiple of 14110 and 14129?

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 14110 and 14129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14110 and 14129, than apply into the LCM equation.

GCF(14110,14129) = 1
LCM(14110,14129) = ( 14110 × 14129) / 1
LCM(14110,14129) = 199360190 / 1
LCM(14110,14129) = 199360190

Least Common Multiple (LCM) of 14110 and 14129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14110 and 14129. First we will calculate the prime factors of 14110 and 14129.

Prime Factorization of 14110

Prime Factorization of 14129

Now multiplying the highest exponent prime factors to calculate the LCM of 14110 and 14129.

LCM(14110,14129) = 2¹ × 5¹ × 17¹ × 83¹ × 71¹ × 199¹
LCM(14110,14129) = 199360190