What is the Least Common Multiple of 35928 and 35933?

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 35928 and 35933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35928 and 35933, than apply into the LCM equation.

GCF(35928,35933) = 1
LCM(35928,35933) = ( 35928 × 35933) / 1
LCM(35928,35933) = 1291000824 / 1
LCM(35928,35933) = 1291000824

Least Common Multiple (LCM) of 35928 and 35933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35928 and 35933. First we will calculate the prime factors of 35928 and 35933.

Prime Factorization of 35928

Prime Factorization of 35933

Now multiplying the highest exponent prime factors to calculate the LCM of 35928 and 35933.

LCM(35928,35933) = 2³ × 3² × 499¹ × 35933¹
LCM(35928,35933) = 1291000824