GCF and LCM Calculator Logo

What is the Least Common Multiple of 26892 and 26905?

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 26892 and 26905 is 723529260.

LCM(26892,26905) = 723529260

LCM Calculator and
and

Least Common Multiple of 26892 and 26905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26892 and 26905, than apply into the LCM equation.

GCF(26892,26905) = 1
LCM(26892,26905) = ( 26892 × 26905) / 1
LCM(26892,26905) = 723529260 / 1
LCM(26892,26905) = 723529260

Least Common Multiple (LCM) of 26892 and 26905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26892 and 26905. First we will calculate the prime factors of 26892 and 26905.

Prime Factorization of 26892

Prime factors of 26892 are 2, 3, 83. Prime factorization of 26892 in exponential form is:

26892 = 22 × 34 × 831

Prime Factorization of 26905

Prime factors of 26905 are 5, 5381. Prime factorization of 26905 in exponential form is:

26905 = 51 × 53811

Now multiplying the highest exponent prime factors to calculate the LCM of 26892 and 26905.

LCM(26892,26905) = 22 × 34 × 831 × 51 × 53811
LCM(26892,26905) = 723529260