What is the Least Common Multiple of 38824 and 38833?

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 38824 and 38833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38824 and 38833, than apply into the LCM equation.

GCF(38824,38833) = 1
LCM(38824,38833) = ( 38824 × 38833) / 1
LCM(38824,38833) = 1507652392 / 1
LCM(38824,38833) = 1507652392

Least Common Multiple (LCM) of 38824 and 38833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38824 and 38833. First we will calculate the prime factors of 38824 and 38833.

Prime Factorization of 38824

Prime Factorization of 38833

Now multiplying the highest exponent prime factors to calculate the LCM of 38824 and 38833.

LCM(38824,38833) = 2³ × 23¹ × 211¹ × 38833¹
LCM(38824,38833) = 1507652392