GCF and LCM Calculator Logo

What is the Least Common Multiple of 5879 and 5895?

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 5879 and 5895 is 34656705.

LCM(5879,5895) = 34656705

LCM Calculator and
and

Least Common Multiple of 5879 and 5895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5879 and 5895, than apply into the LCM equation.

GCF(5879,5895) = 1
LCM(5879,5895) = ( 5879 × 5895) / 1
LCM(5879,5895) = 34656705 / 1
LCM(5879,5895) = 34656705

Least Common Multiple (LCM) of 5879 and 5895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5879 and 5895. First we will calculate the prime factors of 5879 and 5895.

Prime Factorization of 5879

Prime factors of 5879 are 5879. Prime factorization of 5879 in exponential form is:

5879 = 58791

Prime Factorization of 5895

Prime factors of 5895 are 3, 5, 131. Prime factorization of 5895 in exponential form is:

5895 = 32 × 51 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5879 and 5895.

LCM(5879,5895) = 58791 × 32 × 51 × 1311
LCM(5879,5895) = 34656705