What is the Least Common Multiple of 12586 and 12598?

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 12598 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 12598, than apply into the LCM equation.

GCF(12586,12598) = 2
LCM(12586,12598) = ( 12586 × 12598) / 2
LCM(12586,12598) = 158558428 / 2
LCM(12586,12598) = 79279214

Least Common Multiple (LCM) of 12586 and 12598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12586 and 12598. First we will calculate the prime factors of 12586 and 12598.

Prime Factorization of 12586

Prime Factorization of 12598

Now multiplying the highest exponent prime factors to calculate the LCM of 12586 and 12598.

LCM(12586,12598) = 2¹ × 7¹ × 29¹ × 31¹ × 6299¹
LCM(12586,12598) = 79279214