What is the Least Common Multiple of 29438 and 29444?

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 29438 and 29444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29438 and 29444, than apply into the LCM equation.

GCF(29438,29444) = 2
LCM(29438,29444) = ( 29438 × 29444) / 2
LCM(29438,29444) = 866772472 / 2
LCM(29438,29444) = 433386236

Least Common Multiple (LCM) of 29438 and 29444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29438 and 29444. First we will calculate the prime factors of 29438 and 29444.

Prime Factorization of 29438

Prime Factorization of 29444

Now multiplying the highest exponent prime factors to calculate the LCM of 29438 and 29444.

LCM(29438,29444) = 2² × 41¹ × 359¹ × 17¹ × 433¹
LCM(29438,29444) = 433386236