What is the Least Common Multiple of 24424 and 24442?

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 24424 and 24442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24424 and 24442, than apply into the LCM equation.

GCF(24424,24442) = 2
LCM(24424,24442) = ( 24424 × 24442) / 2
LCM(24424,24442) = 596971408 / 2
LCM(24424,24442) = 298485704

Least Common Multiple (LCM) of 24424 and 24442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24424 and 24442. First we will calculate the prime factors of 24424 and 24442.

Prime Factorization of 24424

Prime Factorization of 24442

Now multiplying the highest exponent prime factors to calculate the LCM of 24424 and 24442.

LCM(24424,24442) = 2³ × 43¹ × 71¹ × 11² × 101¹
LCM(24424,24442) = 298485704