What is the Least Common Multiple of 12543 and 12555?

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 12543 and 12555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12543 and 12555, than apply into the LCM equation.

GCF(12543,12555) = 3
LCM(12543,12555) = ( 12543 × 12555) / 3
LCM(12543,12555) = 157477365 / 3
LCM(12543,12555) = 52492455

Least Common Multiple (LCM) of 12543 and 12555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12543 and 12555. First we will calculate the prime factors of 12543 and 12555.

Prime Factorization of 12543

Prime Factorization of 12555

Now multiplying the highest exponent prime factors to calculate the LCM of 12543 and 12555.

LCM(12543,12555) = 3⁴ × 37¹ × 113¹ × 5¹ × 31¹
LCM(12543,12555) = 52492455