What is the Least Common Multiple of 14523 and 14540?

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 14523 and 14540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14523 and 14540, than apply into the LCM equation.

GCF(14523,14540) = 1
LCM(14523,14540) = ( 14523 × 14540) / 1
LCM(14523,14540) = 211164420 / 1
LCM(14523,14540) = 211164420

Least Common Multiple (LCM) of 14523 and 14540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14523 and 14540. First we will calculate the prime factors of 14523 and 14540.

Prime Factorization of 14523

Prime Factorization of 14540

Now multiplying the highest exponent prime factors to calculate the LCM of 14523 and 14540.

LCM(14523,14540) = 3¹ × 47¹ × 103¹ × 2² × 5¹ × 727¹
LCM(14523,14540) = 211164420