What is the Least Common Multiple of 24238 and 24248?

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 24238 and 24248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24238 and 24248, than apply into the LCM equation.

GCF(24238,24248) = 2
LCM(24238,24248) = ( 24238 × 24248) / 2
LCM(24238,24248) = 587723024 / 2
LCM(24238,24248) = 293861512

Least Common Multiple (LCM) of 24238 and 24248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24238 and 24248. First we will calculate the prime factors of 24238 and 24248.

Prime Factorization of 24238

Prime Factorization of 24248

Now multiplying the highest exponent prime factors to calculate the LCM of 24238 and 24248.

LCM(24238,24248) = 2³ × 12119¹ × 7¹ × 433¹
LCM(24238,24248) = 293861512