What is the Least Common Multiple of 14344 and 14350?

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 14344 and 14350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14344 and 14350, than apply into the LCM equation.

GCF(14344,14350) = 2
LCM(14344,14350) = ( 14344 × 14350) / 2
LCM(14344,14350) = 205836400 / 2
LCM(14344,14350) = 102918200

Least Common Multiple (LCM) of 14344 and 14350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14344 and 14350. First we will calculate the prime factors of 14344 and 14350.

Prime Factorization of 14344

Prime Factorization of 14350

Now multiplying the highest exponent prime factors to calculate the LCM of 14344 and 14350.

LCM(14344,14350) = 2³ × 11¹ × 163¹ × 5² × 7¹ × 41¹
LCM(14344,14350) = 102918200