What is the Least Common Multiple of 24238 and 24242?

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 24242 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 24242, than apply into the LCM equation.

GCF(24238,24242) = 2
LCM(24238,24242) = ( 24238 × 24242) / 2
LCM(24238,24242) = 587577596 / 2
LCM(24238,24242) = 293788798

Least Common Multiple (LCM) of 24238 and 24242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24238 and 24242. First we will calculate the prime factors of 24238 and 24242.

Prime Factorization of 24238

Prime Factorization of 24242

Now multiplying the highest exponent prime factors to calculate the LCM of 24238 and 24242.

LCM(24238,24242) = 2¹ × 12119¹ × 17¹ × 23¹ × 31¹
LCM(24238,24242) = 293788798