What is the Least Common Multiple of 23224 and 23230?

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 23224 and 23230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23224 and 23230, than apply into the LCM equation.

GCF(23224,23230) = 2
LCM(23224,23230) = ( 23224 × 23230) / 2
LCM(23224,23230) = 539493520 / 2
LCM(23224,23230) = 269746760

Least Common Multiple (LCM) of 23224 and 23230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23224 and 23230. First we will calculate the prime factors of 23224 and 23230.

Prime Factorization of 23224

Prime Factorization of 23230

Now multiplying the highest exponent prime factors to calculate the LCM of 23224 and 23230.

LCM(23224,23230) = 2³ × 2903¹ × 5¹ × 23¹ × 101¹
LCM(23224,23230) = 269746760