What is the Least Common Multiple of 14140 and 14145?

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 14140 and 14145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14140 and 14145, than apply into the LCM equation.

GCF(14140,14145) = 5
LCM(14140,14145) = ( 14140 × 14145) / 5
LCM(14140,14145) = 200010300 / 5
LCM(14140,14145) = 40002060

Least Common Multiple (LCM) of 14140 and 14145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14140 and 14145. First we will calculate the prime factors of 14140 and 14145.

Prime Factorization of 14140

Prime Factorization of 14145

Now multiplying the highest exponent prime factors to calculate the LCM of 14140 and 14145.

LCM(14140,14145) = 2² × 5¹ × 7¹ × 101¹ × 3¹ × 23¹ × 41¹
LCM(14140,14145) = 40002060