What is the Least Common Multiple of 14085 and 14100?

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 14100 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 14100, than apply into the LCM equation.

GCF(14085,14100) = 15
LCM(14085,14100) = ( 14085 × 14100) / 15
LCM(14085,14100) = 198598500 / 15
LCM(14085,14100) = 13239900

Least Common Multiple (LCM) of 14085 and 14100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14085 and 14100. First we will calculate the prime factors of 14085 and 14100.

Prime Factorization of 14085

Prime Factorization of 14100

Now multiplying the highest exponent prime factors to calculate the LCM of 14085 and 14100.

LCM(14085,14100) = 3² × 5² × 313¹ × 2² × 47¹
LCM(14085,14100) = 13239900