What is the Least Common Multiple of 38548 and 38563?

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 38548 and 38563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38548 and 38563, than apply into the LCM equation.

GCF(38548,38563) = 1
LCM(38548,38563) = ( 38548 × 38563) / 1
LCM(38548,38563) = 1486526524 / 1
LCM(38548,38563) = 1486526524

Least Common Multiple (LCM) of 38548 and 38563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38548 and 38563. First we will calculate the prime factors of 38548 and 38563.

Prime Factorization of 38548

Prime Factorization of 38563

Now multiplying the highest exponent prime factors to calculate the LCM of 38548 and 38563.

LCM(38548,38563) = 2² × 23¹ × 419¹ × 7² × 787¹
LCM(38548,38563) = 1486526524