What is the Least Common Multiple of 56224 and 56232?

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 56224 and 56232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56224 and 56232, than apply into the LCM equation.

GCF(56224,56232) = 8
LCM(56224,56232) = ( 56224 × 56232) / 8
LCM(56224,56232) = 3161587968 / 8
LCM(56224,56232) = 395198496

Least Common Multiple (LCM) of 56224 and 56232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56224 and 56232. First we will calculate the prime factors of 56224 and 56232.

Prime Factorization of 56224

Prime Factorization of 56232

Now multiplying the highest exponent prime factors to calculate the LCM of 56224 and 56232.

LCM(56224,56232) = 2⁵ × 7¹ × 251¹ × 3² × 11¹ × 71¹
LCM(56224,56232) = 395198496