What is the Least Common Multiple of 12987 and 12999?

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 12987 and 12999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12987 and 12999, than apply into the LCM equation.

GCF(12987,12999) = 3
LCM(12987,12999) = ( 12987 × 12999) / 3
LCM(12987,12999) = 168818013 / 3
LCM(12987,12999) = 56272671

Least Common Multiple (LCM) of 12987 and 12999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12987 and 12999. First we will calculate the prime factors of 12987 and 12999.

Prime Factorization of 12987

Prime Factorization of 12999

Now multiplying the highest exponent prime factors to calculate the LCM of 12987 and 12999.

LCM(12987,12999) = 3³ × 13¹ × 37¹ × 7¹ × 619¹
LCM(12987,12999) = 56272671