What is the Least Common Multiple of 38548 and 38564?

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 38564 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 38564, than apply into the LCM equation.

GCF(38548,38564) = 4
LCM(38548,38564) = ( 38548 × 38564) / 4
LCM(38548,38564) = 1486565072 / 4
LCM(38548,38564) = 371641268

Least Common Multiple (LCM) of 38548 and 38564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38548 and 38564. First we will calculate the prime factors of 38548 and 38564.

Prime Factorization of 38548

Prime Factorization of 38564

Now multiplying the highest exponent prime factors to calculate the LCM of 38548 and 38564.

LCM(38548,38564) = 2² × 23¹ × 419¹ × 31¹ × 311¹
LCM(38548,38564) = 371641268