What is the Least Common Multiple of 8224 and 8238?

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 8224 and 8238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8224 and 8238, than apply into the LCM equation.

GCF(8224,8238) = 2
LCM(8224,8238) = ( 8224 × 8238) / 2
LCM(8224,8238) = 67749312 / 2
LCM(8224,8238) = 33874656

Least Common Multiple (LCM) of 8224 and 8238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8224 and 8238. First we will calculate the prime factors of 8224 and 8238.

Prime Factorization of 8224

Prime Factorization of 8238

Now multiplying the highest exponent prime factors to calculate the LCM of 8224 and 8238.

LCM(8224,8238) = 2⁵ × 257¹ × 3¹ × 1373¹
LCM(8224,8238) = 33874656