What is the Least Common Multiple of 12596 and 12614?

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 12596 and 12614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12596 and 12614, than apply into the LCM equation.

GCF(12596,12614) = 2
LCM(12596,12614) = ( 12596 × 12614) / 2
LCM(12596,12614) = 158885944 / 2
LCM(12596,12614) = 79442972

Least Common Multiple (LCM) of 12596 and 12614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12596 and 12614. First we will calculate the prime factors of 12596 and 12614.

Prime Factorization of 12596

Prime Factorization of 12614

Now multiplying the highest exponent prime factors to calculate the LCM of 12596 and 12614.

LCM(12596,12614) = 2² × 47¹ × 67¹ × 7¹ × 17¹ × 53¹
LCM(12596,12614) = 79442972