What is the Least Common Multiple of 14312 and 14326?

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 14312 and 14326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14312 and 14326, than apply into the LCM equation.

GCF(14312,14326) = 2
LCM(14312,14326) = ( 14312 × 14326) / 2
LCM(14312,14326) = 205033712 / 2
LCM(14312,14326) = 102516856

Least Common Multiple (LCM) of 14312 and 14326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14312 and 14326. First we will calculate the prime factors of 14312 and 14326.

Prime Factorization of 14312

Prime Factorization of 14326

Now multiplying the highest exponent prime factors to calculate the LCM of 14312 and 14326.

LCM(14312,14326) = 2³ × 1789¹ × 13¹ × 19¹ × 29¹
LCM(14312,14326) = 102516856