What is the Least Common Multiple of 32224 and 32238?

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 32224 and 32238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32224 and 32238, than apply into the LCM equation.

GCF(32224,32238) = 2
LCM(32224,32238) = ( 32224 × 32238) / 2
LCM(32224,32238) = 1038837312 / 2
LCM(32224,32238) = 519418656

Least Common Multiple (LCM) of 32224 and 32238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32224 and 32238. First we will calculate the prime factors of 32224 and 32238.

Prime Factorization of 32224

Prime Factorization of 32238

Now multiplying the highest exponent prime factors to calculate the LCM of 32224 and 32238.

LCM(32224,32238) = 2⁵ × 19¹ × 53¹ × 3⁴ × 199¹
LCM(32224,32238) = 519418656