GCF and LCM Calculator Logo

What is the Least Common Multiple of 26491 and 26496?

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 26491 and 26496 is 701905536.

LCM(26491,26496) = 701905536

LCM Calculator and
and

Least Common Multiple of 26491 and 26496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26491 and 26496, than apply into the LCM equation.

GCF(26491,26496) = 1
LCM(26491,26496) = ( 26491 × 26496) / 1
LCM(26491,26496) = 701905536 / 1
LCM(26491,26496) = 701905536

Least Common Multiple (LCM) of 26491 and 26496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26491 and 26496. First we will calculate the prime factors of 26491 and 26496.

Prime Factorization of 26491

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

26491 = 591 × 4491

Prime Factorization of 26496

Prime factors of 26496 are 2, 3, 23. Prime factorization of 26496 in exponential form is:

26496 = 27 × 32 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 26491 and 26496.

LCM(26491,26496) = 591 × 4491 × 27 × 32 × 231
LCM(26491,26496) = 701905536