What is the Least Common Multiple of 38550 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 38550 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 38550 and 38564, than apply into the LCM equation.

GCF(38550,38564) = 2
LCM(38550,38564) = ( 38550 × 38564) / 2
LCM(38550,38564) = 1486642200 / 2
LCM(38550,38564) = 743321100

Least Common Multiple (LCM) of 38550 and 38564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38550 and 38564. First we will calculate the prime factors of 38550 and 38564.

Prime Factorization of 38550

Prime Factorization of 38564

Now multiplying the highest exponent prime factors to calculate the LCM of 38550 and 38564.

LCM(38550,38564) = 2² × 3¹ × 5² × 257¹ × 31¹ × 311¹
LCM(38550,38564) = 743321100