What is the Least Common Multiple of 12489 and 12499?

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 12489 and 12499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12489 and 12499, than apply into the LCM equation.

GCF(12489,12499) = 1
LCM(12489,12499) = ( 12489 × 12499) / 1
LCM(12489,12499) = 156100011 / 1
LCM(12489,12499) = 156100011

Least Common Multiple (LCM) of 12489 and 12499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12489 and 12499. First we will calculate the prime factors of 12489 and 12499.

Prime Factorization of 12489

Prime Factorization of 12499

Now multiplying the highest exponent prime factors to calculate the LCM of 12489 and 12499.

LCM(12489,12499) = 3¹ × 23¹ × 181¹ × 29¹ × 431¹
LCM(12489,12499) = 156100011