GCF and LCM Calculator Logo

What is the Least Common Multiple of 13578 and 13591?

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 13578 and 13591 is 184538598.

LCM(13578,13591) = 184538598

LCM Calculator and
and

Least Common Multiple of 13578 and 13591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13578 and 13591, than apply into the LCM equation.

GCF(13578,13591) = 1
LCM(13578,13591) = ( 13578 × 13591) / 1
LCM(13578,13591) = 184538598 / 1
LCM(13578,13591) = 184538598

Least Common Multiple (LCM) of 13578 and 13591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13578 and 13591. First we will calculate the prime factors of 13578 and 13591.

Prime Factorization of 13578

Prime factors of 13578 are 2, 3, 31, 73. Prime factorization of 13578 in exponential form is:

13578 = 21 × 31 × 311 × 731

Prime Factorization of 13591

Prime factors of 13591 are 13591. Prime factorization of 13591 in exponential form is:

13591 = 135911

Now multiplying the highest exponent prime factors to calculate the LCM of 13578 and 13591.

LCM(13578,13591) = 21 × 31 × 311 × 731 × 135911
LCM(13578,13591) = 184538598