What is the Least Common Multiple of 14180 and 14184?

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 14180 and 14184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14180 and 14184, than apply into the LCM equation.

GCF(14180,14184) = 4
LCM(14180,14184) = ( 14180 × 14184) / 4
LCM(14180,14184) = 201129120 / 4
LCM(14180,14184) = 50282280

Least Common Multiple (LCM) of 14180 and 14184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14180 and 14184. First we will calculate the prime factors of 14180 and 14184.

Prime Factorization of 14180

Prime Factorization of 14184

Now multiplying the highest exponent prime factors to calculate the LCM of 14180 and 14184.

LCM(14180,14184) = 2³ × 5¹ × 709¹ × 3² × 197¹
LCM(14180,14184) = 50282280