What is the Least Common Multiple of 38829 and 38838?

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 38829 and 38838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38829 and 38838, than apply into the LCM equation.

GCF(38829,38838) = 3
LCM(38829,38838) = ( 38829 × 38838) / 3
LCM(38829,38838) = 1508040702 / 3
LCM(38829,38838) = 502680234

Least Common Multiple (LCM) of 38829 and 38838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38829 and 38838. First we will calculate the prime factors of 38829 and 38838.

Prime Factorization of 38829

Prime Factorization of 38838

Now multiplying the highest exponent prime factors to calculate the LCM of 38829 and 38838.

LCM(38829,38838) = 3¹ × 7¹ × 43² × 2¹ × 6473¹
LCM(38829,38838) = 502680234