GCF and LCM Calculator Logo

What is the Least Common Multiple of 1588 and 1595?

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 1588 and 1595 is 2532860.

LCM(1588,1595) = 2532860

LCM Calculator and
and

Least Common Multiple of 1588 and 1595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1588 and 1595, than apply into the LCM equation.

GCF(1588,1595) = 1
LCM(1588,1595) = ( 1588 × 1595) / 1
LCM(1588,1595) = 2532860 / 1
LCM(1588,1595) = 2532860

Least Common Multiple (LCM) of 1588 and 1595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1588 and 1595. First we will calculate the prime factors of 1588 and 1595.

Prime Factorization of 1588

Prime factors of 1588 are 2, 397. Prime factorization of 1588 in exponential form is:

1588 = 22 × 3971

Prime Factorization of 1595

Prime factors of 1595 are 5, 11, 29. Prime factorization of 1595 in exponential form is:

1595 = 51 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1588 and 1595.

LCM(1588,1595) = 22 × 3971 × 51 × 111 × 291
LCM(1588,1595) = 2532860