What is the Least Common Multiple of 29424 and 29438?

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 29424 and 29438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29424 and 29438, than apply into the LCM equation.

GCF(29424,29438) = 2
LCM(29424,29438) = ( 29424 × 29438) / 2
LCM(29424,29438) = 866183712 / 2
LCM(29424,29438) = 433091856

Least Common Multiple (LCM) of 29424 and 29438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29424 and 29438. First we will calculate the prime factors of 29424 and 29438.

Prime Factorization of 29424

Prime Factorization of 29438

Now multiplying the highest exponent prime factors to calculate the LCM of 29424 and 29438.

LCM(29424,29438) = 2⁴ × 3¹ × 613¹ × 41¹ × 359¹
LCM(29424,29438) = 433091856