What is the Least Common Multiple of 38385 and 38404?

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 38385 and 38404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38385 and 38404, than apply into the LCM equation.

GCF(38385,38404) = 1
LCM(38385,38404) = ( 38385 × 38404) / 1
LCM(38385,38404) = 1474137540 / 1
LCM(38385,38404) = 1474137540

Least Common Multiple (LCM) of 38385 and 38404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38385 and 38404. First we will calculate the prime factors of 38385 and 38404.

Prime Factorization of 38385

Prime Factorization of 38404

Now multiplying the highest exponent prime factors to calculate the LCM of 38385 and 38404.

LCM(38385,38404) = 3² × 5¹ × 853¹ × 2² × 9601¹
LCM(38385,38404) = 1474137540