What is the Least Common Multiple of 16224 and 16238?

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 16224 and 16238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16224 and 16238, than apply into the LCM equation.

GCF(16224,16238) = 2
LCM(16224,16238) = ( 16224 × 16238) / 2
LCM(16224,16238) = 263445312 / 2
LCM(16224,16238) = 131722656

Least Common Multiple (LCM) of 16224 and 16238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16224 and 16238. First we will calculate the prime factors of 16224 and 16238.

Prime Factorization of 16224

Prime Factorization of 16238

Now multiplying the highest exponent prime factors to calculate the LCM of 16224 and 16238.

LCM(16224,16238) = 2⁵ × 3¹ × 13² × 23¹ × 353¹
LCM(16224,16238) = 131722656