GCF and LCM Calculator Logo

What is the Least Common Multiple of 26406 and 26426?

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 26406 and 26426 is 348902478.

LCM(26406,26426) = 348902478

LCM Calculator and
and

Least Common Multiple of 26406 and 26426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26406 and 26426, than apply into the LCM equation.

GCF(26406,26426) = 2
LCM(26406,26426) = ( 26406 × 26426) / 2
LCM(26406,26426) = 697804956 / 2
LCM(26406,26426) = 348902478

Least Common Multiple (LCM) of 26406 and 26426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26406 and 26426. First we will calculate the prime factors of 26406 and 26426.

Prime Factorization of 26406

Prime factors of 26406 are 2, 3, 163. Prime factorization of 26406 in exponential form is:

26406 = 21 × 34 × 1631

Prime Factorization of 26426

Prime factors of 26426 are 2, 73, 181. Prime factorization of 26426 in exponential form is:

26426 = 21 × 731 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 26406 and 26426.

LCM(26406,26426) = 21 × 34 × 1631 × 731 × 1811
LCM(26406,26426) = 348902478