What is the Least Common Multiple of 14085 and 14104?

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 14085 and 14104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14085 and 14104, than apply into the LCM equation.

GCF(14085,14104) = 1
LCM(14085,14104) = ( 14085 × 14104) / 1
LCM(14085,14104) = 198654840 / 1
LCM(14085,14104) = 198654840

Least Common Multiple (LCM) of 14085 and 14104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14085 and 14104. First we will calculate the prime factors of 14085 and 14104.

Prime Factorization of 14085

Prime Factorization of 14104

Now multiplying the highest exponent prime factors to calculate the LCM of 14085 and 14104.

LCM(14085,14104) = 3² × 5¹ × 313¹ × 2³ × 41¹ × 43¹
LCM(14085,14104) = 198654840