What is the Least Common Multiple of 12618 and 12631?

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 12618 and 12631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12618 and 12631, than apply into the LCM equation.

GCF(12618,12631) = 1
LCM(12618,12631) = ( 12618 × 12631) / 1
LCM(12618,12631) = 159377958 / 1
LCM(12618,12631) = 159377958

Least Common Multiple (LCM) of 12618 and 12631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12618 and 12631. First we will calculate the prime factors of 12618 and 12631.

Prime Factorization of 12618

Prime Factorization of 12631

Now multiplying the highest exponent prime factors to calculate the LCM of 12618 and 12631.

LCM(12618,12631) = 2¹ × 3² × 701¹ × 17¹ × 743¹
LCM(12618,12631) = 159377958