What is the Least Common Multiple of 38404 and 38413?

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 38404 and 38413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38404 and 38413, than apply into the LCM equation.

GCF(38404,38413) = 1
LCM(38404,38413) = ( 38404 × 38413) / 1
LCM(38404,38413) = 1475212852 / 1
LCM(38404,38413) = 1475212852

Least Common Multiple (LCM) of 38404 and 38413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38404 and 38413. First we will calculate the prime factors of 38404 and 38413.

Prime Factorization of 38404

Prime Factorization of 38413

Now multiplying the highest exponent prime factors to calculate the LCM of 38404 and 38413.

LCM(38404,38413) = 2² × 9601¹ × 107¹ × 359¹
LCM(38404,38413) = 1475212852