What is the Least Common Multiple of 12586 and 12601?

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 12586 and 12601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12586 and 12601, than apply into the LCM equation.

GCF(12586,12601) = 1
LCM(12586,12601) = ( 12586 × 12601) / 1
LCM(12586,12601) = 158596186 / 1
LCM(12586,12601) = 158596186

Least Common Multiple (LCM) of 12586 and 12601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12586 and 12601. First we will calculate the prime factors of 12586 and 12601.

Prime Factorization of 12586

Prime Factorization of 12601

Now multiplying the highest exponent prime factors to calculate the LCM of 12586 and 12601.

LCM(12586,12601) = 2¹ × 7¹ × 29¹ × 31¹ × 12601¹
LCM(12586,12601) = 158596186