What is the Least Common Multiple of 12591 and 12611?

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 12591 and 12611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12591 and 12611, than apply into the LCM equation.

GCF(12591,12611) = 1
LCM(12591,12611) = ( 12591 × 12611) / 1
LCM(12591,12611) = 158785101 / 1
LCM(12591,12611) = 158785101

Least Common Multiple (LCM) of 12591 and 12611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12591 and 12611. First we will calculate the prime factors of 12591 and 12611.

Prime Factorization of 12591

Prime Factorization of 12611

Now multiplying the highest exponent prime factors to calculate the LCM of 12591 and 12611.

LCM(12591,12611) = 3² × 1399¹ × 12611¹
LCM(12591,12611) = 158785101