What is the Least Common Multiple of 12586 and 12596?

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 12596 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 12596, than apply into the LCM equation.

GCF(12586,12596) = 2
LCM(12586,12596) = ( 12586 × 12596) / 2
LCM(12586,12596) = 158533256 / 2
LCM(12586,12596) = 79266628

Least Common Multiple (LCM) of 12586 and 12596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12586 and 12596. First we will calculate the prime factors of 12586 and 12596.

Prime Factorization of 12586

Prime Factorization of 12596

Now multiplying the highest exponent prime factors to calculate the LCM of 12586 and 12596.

LCM(12586,12596) = 2² × 7¹ × 29¹ × 31¹ × 47¹ × 67¹
LCM(12586,12596) = 79266628