What is the Least Common Multiple of 24224 and 24238?

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 24224 and 24238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24224 and 24238, than apply into the LCM equation.

GCF(24224,24238) = 2
LCM(24224,24238) = ( 24224 × 24238) / 2
LCM(24224,24238) = 587141312 / 2
LCM(24224,24238) = 293570656

Least Common Multiple (LCM) of 24224 and 24238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24224 and 24238. First we will calculate the prime factors of 24224 and 24238.

Prime Factorization of 24224

Prime Factorization of 24238

Now multiplying the highest exponent prime factors to calculate the LCM of 24224 and 24238.

LCM(24224,24238) = 2⁵ × 757¹ × 12119¹
LCM(24224,24238) = 293570656