What is the Least Common Multiple of 8224 and 8230?

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 8230 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 8230, than apply into the LCM equation.

GCF(8224,8230) = 2
LCM(8224,8230) = ( 8224 × 8230) / 2
LCM(8224,8230) = 67683520 / 2
LCM(8224,8230) = 33841760

Least Common Multiple (LCM) of 8224 and 8230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8224 and 8230. First we will calculate the prime factors of 8224 and 8230.

Prime Factorization of 8224

Prime Factorization of 8230

Now multiplying the highest exponent prime factors to calculate the LCM of 8224 and 8230.

LCM(8224,8230) = 2⁵ × 257¹ × 5¹ × 823¹
LCM(8224,8230) = 33841760