GCF and LCM Calculator Logo

What is the Least Common Multiple of 26487 and 26491?

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 26487 and 26491 is 701667117.

LCM(26487,26491) = 701667117

LCM Calculator and
and

Least Common Multiple of 26487 and 26491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26487 and 26491, than apply into the LCM equation.

GCF(26487,26491) = 1
LCM(26487,26491) = ( 26487 × 26491) / 1
LCM(26487,26491) = 701667117 / 1
LCM(26487,26491) = 701667117

Least Common Multiple (LCM) of 26487 and 26491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26487 and 26491. First we will calculate the prime factors of 26487 and 26491.

Prime Factorization of 26487

Prime factors of 26487 are 3, 109. Prime factorization of 26487 in exponential form is:

26487 = 35 × 1091

Prime Factorization of 26491

Prime factors of 26491 are 59, 449. Prime factorization of 26491 in exponential form is:

26491 = 591 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 26487 and 26491.

LCM(26487,26491) = 35 × 1091 × 591 × 4491
LCM(26487,26491) = 701667117