What is the Least Common Multiple of 14224 and 14238?

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 14224 and 14238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14224 and 14238, than apply into the LCM equation.

GCF(14224,14238) = 14
LCM(14224,14238) = ( 14224 × 14238) / 14
LCM(14224,14238) = 202521312 / 14
LCM(14224,14238) = 14465808

Least Common Multiple (LCM) of 14224 and 14238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14224 and 14238. First we will calculate the prime factors of 14224 and 14238.

Prime Factorization of 14224

Prime Factorization of 14238

Now multiplying the highest exponent prime factors to calculate the LCM of 14224 and 14238.

LCM(14224,14238) = 2⁴ × 7¹ × 127¹ × 3² × 113¹
LCM(14224,14238) = 14465808