What is the Least Common Multiple of 14302 and 14308?

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 14302 and 14308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14302 and 14308, than apply into the LCM equation.

GCF(14302,14308) = 2
LCM(14302,14308) = ( 14302 × 14308) / 2
LCM(14302,14308) = 204633016 / 2
LCM(14302,14308) = 102316508

Least Common Multiple (LCM) of 14302 and 14308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14302 and 14308. First we will calculate the prime factors of 14302 and 14308.

Prime Factorization of 14302

Prime Factorization of 14308

Now multiplying the highest exponent prime factors to calculate the LCM of 14302 and 14308.

LCM(14302,14308) = 2² × 7151¹ × 7² × 73¹
LCM(14302,14308) = 102316508