What is the Least Common Multiple of 38394 and 38403?

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 38394 and 38403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38394 and 38403, than apply into the LCM equation.

GCF(38394,38403) = 9
LCM(38394,38403) = ( 38394 × 38403) / 9
LCM(38394,38403) = 1474444782 / 9
LCM(38394,38403) = 163827198

Least Common Multiple (LCM) of 38394 and 38403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38394 and 38403. First we will calculate the prime factors of 38394 and 38403.

Prime Factorization of 38394

Prime Factorization of 38403

Now multiplying the highest exponent prime factors to calculate the LCM of 38394 and 38403.

LCM(38394,38403) = 2¹ × 3⁵ × 79¹ × 17¹ × 251¹
LCM(38394,38403) = 163827198