What is the Least Common Multiple of 24230 and 24243?

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 24230 and 24243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24230 and 24243, than apply into the LCM equation.

GCF(24230,24243) = 1
LCM(24230,24243) = ( 24230 × 24243) / 1
LCM(24230,24243) = 587407890 / 1
LCM(24230,24243) = 587407890

Least Common Multiple (LCM) of 24230 and 24243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24230 and 24243. First we will calculate the prime factors of 24230 and 24243.

Prime Factorization of 24230

Prime Factorization of 24243

Now multiplying the highest exponent prime factors to calculate the LCM of 24230 and 24243.

LCM(24230,24243) = 2¹ × 5¹ × 2423¹ × 3¹ × 8081¹
LCM(24230,24243) = 587407890