What is the Least Common Multiple of 14160 and 14180?

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 14160 and 14180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14160 and 14180, than apply into the LCM equation.

GCF(14160,14180) = 20
LCM(14160,14180) = ( 14160 × 14180) / 20
LCM(14160,14180) = 200788800 / 20
LCM(14160,14180) = 10039440

Least Common Multiple (LCM) of 14160 and 14180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14160 and 14180. First we will calculate the prime factors of 14160 and 14180.

Prime Factorization of 14160

Prime Factorization of 14180

Now multiplying the highest exponent prime factors to calculate the LCM of 14160 and 14180.

LCM(14160,14180) = 2⁴ × 3¹ × 5¹ × 59¹ × 709¹
LCM(14160,14180) = 10039440