What is the Least Common Multiple of 24224 and 24234?

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 24234 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 24234, than apply into the LCM equation.

GCF(24224,24234) = 2
LCM(24224,24234) = ( 24224 × 24234) / 2
LCM(24224,24234) = 587044416 / 2
LCM(24224,24234) = 293522208

Least Common Multiple (LCM) of 24224 and 24234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24224 and 24234. First we will calculate the prime factors of 24224 and 24234.

Prime Factorization of 24224

Prime Factorization of 24234

Now multiplying the highest exponent prime factors to calculate the LCM of 24224 and 24234.

LCM(24224,24234) = 2⁵ × 757¹ × 3¹ × 7¹ × 577¹
LCM(24224,24234) = 293522208