What is the Least Common Multiple of 12523 and 12537?

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 12523 and 12537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12523 and 12537, than apply into the LCM equation.

GCF(12523,12537) = 7
LCM(12523,12537) = ( 12523 × 12537) / 7
LCM(12523,12537) = 157000851 / 7
LCM(12523,12537) = 22428693

Least Common Multiple (LCM) of 12523 and 12537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12523 and 12537. First we will calculate the prime factors of 12523 and 12537.

Prime Factorization of 12523

Prime Factorization of 12537

Now multiplying the highest exponent prime factors to calculate the LCM of 12523 and 12537.

LCM(12523,12537) = 7¹ × 1789¹ × 3² × 199¹
LCM(12523,12537) = 22428693