What is the Least Common Multiple of 14145 and 14160?

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 14145 and 14160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14145 and 14160, than apply into the LCM equation.

GCF(14145,14160) = 15
LCM(14145,14160) = ( 14145 × 14160) / 15
LCM(14145,14160) = 200293200 / 15
LCM(14145,14160) = 13352880

Least Common Multiple (LCM) of 14145 and 14160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14145 and 14160. First we will calculate the prime factors of 14145 and 14160.

Prime Factorization of 14145

Prime Factorization of 14160

Now multiplying the highest exponent prime factors to calculate the LCM of 14145 and 14160.

LCM(14145,14160) = 3¹ × 5¹ × 23¹ × 41¹ × 2⁴ × 59¹
LCM(14145,14160) = 13352880