What is the Least Common Multiple of 12346 and 12359?

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 12346 and 12359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12346 and 12359, than apply into the LCM equation.

GCF(12346,12359) = 1
LCM(12346,12359) = ( 12346 × 12359) / 1
LCM(12346,12359) = 152584214 / 1
LCM(12346,12359) = 152584214

Least Common Multiple (LCM) of 12346 and 12359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12346 and 12359. First we will calculate the prime factors of 12346 and 12359.

Prime Factorization of 12346

Prime Factorization of 12359

Now multiplying the highest exponent prime factors to calculate the LCM of 12346 and 12359.

LCM(12346,12359) = 2¹ × 6173¹ × 17¹ × 727¹
LCM(12346,12359) = 152584214