What is the Least Common Multiple of 12596 and 12612?

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 12612 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 12612, than apply into the LCM equation.

GCF(12596,12612) = 4
LCM(12596,12612) = ( 12596 × 12612) / 4
LCM(12596,12612) = 158860752 / 4
LCM(12596,12612) = 39715188

Least Common Multiple (LCM) of 12596 and 12612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12596 and 12612. First we will calculate the prime factors of 12596 and 12612.

Prime Factorization of 12596

Prime Factorization of 12612

Now multiplying the highest exponent prime factors to calculate the LCM of 12596 and 12612.

LCM(12596,12612) = 2² × 47¹ × 67¹ × 3¹ × 1051¹
LCM(12596,12612) = 39715188