What is the Least Common Multiple of 63224 and 63238?

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 63224 and 63238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63224 and 63238, than apply into the LCM equation.

GCF(63224,63238) = 14
LCM(63224,63238) = ( 63224 × 63238) / 14
LCM(63224,63238) = 3998159312 / 14
LCM(63224,63238) = 285582808

Least Common Multiple (LCM) of 63224 and 63238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63224 and 63238. First we will calculate the prime factors of 63224 and 63238.

Prime Factorization of 63224

Prime Factorization of 63238

Now multiplying the highest exponent prime factors to calculate the LCM of 63224 and 63238.

LCM(63224,63238) = 2³ × 7¹ × 1129¹ × 4517¹
LCM(63224,63238) = 285582808