GCF and LCM Calculator Logo

What is the Least Common Multiple of 26761 and 26780?

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 26761 and 26780 is 716659580.

LCM(26761,26780) = 716659580

LCM Calculator and
and

Least Common Multiple of 26761 and 26780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26761 and 26780, than apply into the LCM equation.

GCF(26761,26780) = 1
LCM(26761,26780) = ( 26761 × 26780) / 1
LCM(26761,26780) = 716659580 / 1
LCM(26761,26780) = 716659580

Least Common Multiple (LCM) of 26761 and 26780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26761 and 26780. First we will calculate the prime factors of 26761 and 26780.

Prime Factorization of 26761

Prime factors of 26761 are 7, 3823. Prime factorization of 26761 in exponential form is:

26761 = 71 × 38231

Prime Factorization of 26780

Prime factors of 26780 are 2, 5, 13, 103. Prime factorization of 26780 in exponential form is:

26780 = 22 × 51 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 26761 and 26780.

LCM(26761,26780) = 71 × 38231 × 22 × 51 × 131 × 1031
LCM(26761,26780) = 716659580