GCF and LCM Calculator Logo

What is the Least Common Multiple of 26387 and 26404?

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 26387 and 26404 is 696722348.

LCM(26387,26404) = 696722348

LCM Calculator and
and

Least Common Multiple of 26387 and 26404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26387 and 26404, than apply into the LCM equation.

GCF(26387,26404) = 1
LCM(26387,26404) = ( 26387 × 26404) / 1
LCM(26387,26404) = 696722348 / 1
LCM(26387,26404) = 696722348

Least Common Multiple (LCM) of 26387 and 26404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26387 and 26404. First we will calculate the prime factors of 26387 and 26404.

Prime Factorization of 26387

Prime factors of 26387 are 26387. Prime factorization of 26387 in exponential form is:

26387 = 263871

Prime Factorization of 26404

Prime factors of 26404 are 2, 7, 23, 41. Prime factorization of 26404 in exponential form is:

26404 = 22 × 71 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 26387 and 26404.

LCM(26387,26404) = 263871 × 22 × 71 × 231 × 411
LCM(26387,26404) = 696722348