What is the Least Common Multiple of 14264 and 14283?

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 14264 and 14283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14264 and 14283, than apply into the LCM equation.

GCF(14264,14283) = 1
LCM(14264,14283) = ( 14264 × 14283) / 1
LCM(14264,14283) = 203732712 / 1
LCM(14264,14283) = 203732712

Least Common Multiple (LCM) of 14264 and 14283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14264 and 14283. First we will calculate the prime factors of 14264 and 14283.

Prime Factorization of 14264

Prime Factorization of 14283

Now multiplying the highest exponent prime factors to calculate the LCM of 14264 and 14283.

LCM(14264,14283) = 2³ × 1783¹ × 3³ × 23²
LCM(14264,14283) = 203732712