What is the Least Common Multiple of 12523 and 12539?

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 12539 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 12539, than apply into the LCM equation.

GCF(12523,12539) = 1
LCM(12523,12539) = ( 12523 × 12539) / 1
LCM(12523,12539) = 157025897 / 1
LCM(12523,12539) = 157025897

Least Common Multiple (LCM) of 12523 and 12539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12523 and 12539. First we will calculate the prime factors of 12523 and 12539.

Prime Factorization of 12523

Prime Factorization of 12539

Now multiplying the highest exponent prime factors to calculate the LCM of 12523 and 12539.

LCM(12523,12539) = 7¹ × 1789¹ × 12539¹
LCM(12523,12539) = 157025897