What is the Least Common Multiple of 35908 and 35928?

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 35908 and 35928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35908 and 35928, than apply into the LCM equation.

GCF(35908,35928) = 4
LCM(35908,35928) = ( 35908 × 35928) / 4
LCM(35908,35928) = 1290102624 / 4
LCM(35908,35928) = 322525656

Least Common Multiple (LCM) of 35908 and 35928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35908 and 35928. First we will calculate the prime factors of 35908 and 35928.

Prime Factorization of 35908

Prime Factorization of 35928

Now multiplying the highest exponent prime factors to calculate the LCM of 35908 and 35928.

LCM(35908,35928) = 2³ × 47¹ × 191¹ × 3² × 499¹
LCM(35908,35928) = 322525656