GCF and LCM Calculator Logo

What is the Least Common Multiple of 1583 and 1591?

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 1583 and 1591 is 2518553.

LCM(1583,1591) = 2518553

LCM Calculator and
and

Least Common Multiple of 1583 and 1591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1583 and 1591, than apply into the LCM equation.

GCF(1583,1591) = 1
LCM(1583,1591) = ( 1583 × 1591) / 1
LCM(1583,1591) = 2518553 / 1
LCM(1583,1591) = 2518553

Least Common Multiple (LCM) of 1583 and 1591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1583 and 1591. First we will calculate the prime factors of 1583 and 1591.

Prime Factorization of 1583

Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:

1583 = 15831

Prime Factorization of 1591

Prime factors of 1591 are 37, 43. Prime factorization of 1591 in exponential form is:

1591 = 371 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 1583 and 1591.

LCM(1583,1591) = 15831 × 371 × 431
LCM(1583,1591) = 2518553