What is the Least Common Multiple of 14084 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 14084 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 14084 and 14100, than apply into the LCM equation.

GCF(14084,14100) = 4
LCM(14084,14100) = ( 14084 × 14100) / 4
LCM(14084,14100) = 198584400 / 4
LCM(14084,14100) = 49646100

Least Common Multiple (LCM) of 14084 and 14100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14084 and 14100. First we will calculate the prime factors of 14084 and 14100.

Prime Factorization of 14084

Prime Factorization of 14100

Now multiplying the highest exponent prime factors to calculate the LCM of 14084 and 14100.

LCM(14084,14100) = 2² × 7¹ × 503¹ × 3¹ × 5² × 47¹
LCM(14084,14100) = 49646100