GCF and LCM Calculator Logo

What is the Least Common Multiple of 26582 and 26596?

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 26582 and 26596 is 353487436.

LCM(26582,26596) = 353487436

LCM Calculator and
and

Least Common Multiple of 26582 and 26596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26582 and 26596, than apply into the LCM equation.

GCF(26582,26596) = 2
LCM(26582,26596) = ( 26582 × 26596) / 2
LCM(26582,26596) = 706974872 / 2
LCM(26582,26596) = 353487436

Least Common Multiple (LCM) of 26582 and 26596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26582 and 26596. First we will calculate the prime factors of 26582 and 26596.

Prime Factorization of 26582

Prime factors of 26582 are 2, 13291. Prime factorization of 26582 in exponential form is:

26582 = 21 × 132911

Prime Factorization of 26596

Prime factors of 26596 are 2, 61, 109. Prime factorization of 26596 in exponential form is:

26596 = 22 × 611 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 26582 and 26596.

LCM(26582,26596) = 22 × 132911 × 611 × 1091
LCM(26582,26596) = 353487436