What is the Least Common Multiple of 24230 and 24250?

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 24250 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 24250, than apply into the LCM equation.

GCF(24230,24250) = 10
LCM(24230,24250) = ( 24230 × 24250) / 10
LCM(24230,24250) = 587577500 / 10
LCM(24230,24250) = 58757750

Least Common Multiple (LCM) of 24230 and 24250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24230 and 24250. First we will calculate the prime factors of 24230 and 24250.

Prime Factorization of 24230

Prime Factorization of 24250

Now multiplying the highest exponent prime factors to calculate the LCM of 24230 and 24250.

LCM(24230,24250) = 2¹ × 5³ × 2423¹ × 97¹
LCM(24230,24250) = 58757750