What is the Least Common Multiple of 14530 and 14538?

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 14530 and 14538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14530 and 14538, than apply into the LCM equation.

GCF(14530,14538) = 2
LCM(14530,14538) = ( 14530 × 14538) / 2
LCM(14530,14538) = 211237140 / 2
LCM(14530,14538) = 105618570

Least Common Multiple (LCM) of 14530 and 14538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14530 and 14538. First we will calculate the prime factors of 14530 and 14538.

Prime Factorization of 14530

Prime Factorization of 14538

Now multiplying the highest exponent prime factors to calculate the LCM of 14530 and 14538.

LCM(14530,14538) = 2¹ × 5¹ × 1453¹ × 3¹ × 2423¹
LCM(14530,14538) = 105618570