What is the Least Common Multiple of 12569 and 12588?

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 12569 and 12588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12569 and 12588, than apply into the LCM equation.

GCF(12569,12588) = 1
LCM(12569,12588) = ( 12569 × 12588) / 1
LCM(12569,12588) = 158218572 / 1
LCM(12569,12588) = 158218572

Least Common Multiple (LCM) of 12569 and 12588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12569 and 12588. First we will calculate the prime factors of 12569 and 12588.

Prime Factorization of 12569

Prime Factorization of 12588

Now multiplying the highest exponent prime factors to calculate the LCM of 12569 and 12588.

LCM(12569,12588) = 12569¹ × 2² × 3¹ × 1049¹
LCM(12569,12588) = 158218572