GCF and LCM Calculator Logo

What is the Least Common Multiple of 5908 and 5927?

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 (LCM) of 5908 and 5927 is 35016716.

LCM(5908,5927) = 35016716

LCM Calculator and
and

Least Common Multiple of 5908 and 5927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5908 and 5927, than apply into the LCM equation.

GCF(5908,5927) = 1
LCM(5908,5927) = ( 5908 × 5927) / 1
LCM(5908,5927) = 35016716 / 1
LCM(5908,5927) = 35016716

Least Common Multiple (LCM) of 5908 and 5927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5908 and 5927. First we will calculate the prime factors of 5908 and 5927.

Prime Factorization of 5908

Prime factors of 5908 are 2, 7, 211. Prime factorization of 5908 in exponential form is:

5908 = 22 × 71 × 2111

Prime Factorization of 5927

Prime factors of 5927 are 5927. Prime factorization of 5927 in exponential form is:

5927 = 59271

Now multiplying the highest exponent prime factors to calculate the LCM of 5908 and 5927.

LCM(5908,5927) = 22 × 71 × 2111 × 59271
LCM(5908,5927) = 35016716