What is the Least Common Multiple of 14375 and 14380?

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 14375 and 14380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14375 and 14380, than apply into the LCM equation.

GCF(14375,14380) = 5
LCM(14375,14380) = ( 14375 × 14380) / 5
LCM(14375,14380) = 206712500 / 5
LCM(14375,14380) = 41342500

Least Common Multiple (LCM) of 14375 and 14380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14375 and 14380. First we will calculate the prime factors of 14375 and 14380.

Prime Factorization of 14375

Prime Factorization of 14380

Now multiplying the highest exponent prime factors to calculate the LCM of 14375 and 14380.

LCM(14375,14380) = 5⁴ × 23¹ × 2² × 719¹
LCM(14375,14380) = 41342500