What is the Least Common Multiple of 12555 and 12569?

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 12555 and 12569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12555 and 12569, than apply into the LCM equation.

GCF(12555,12569) = 1
LCM(12555,12569) = ( 12555 × 12569) / 1
LCM(12555,12569) = 157803795 / 1
LCM(12555,12569) = 157803795

Least Common Multiple (LCM) of 12555 and 12569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12555 and 12569. First we will calculate the prime factors of 12555 and 12569.

Prime Factorization of 12555

Prime Factorization of 12569

Now multiplying the highest exponent prime factors to calculate the LCM of 12555 and 12569.

LCM(12555,12569) = 3⁴ × 5¹ × 31¹ × 12569¹
LCM(12555,12569) = 157803795