GCF and LCM Calculator Logo

What is the Least Common Multiple of 26819 and 26831?

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 26819 and 26831 is 719580589.

LCM(26819,26831) = 719580589

LCM Calculator and
and

Least Common Multiple of 26819 and 26831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26819 and 26831, than apply into the LCM equation.

GCF(26819,26831) = 1
LCM(26819,26831) = ( 26819 × 26831) / 1
LCM(26819,26831) = 719580589 / 1
LCM(26819,26831) = 719580589

Least Common Multiple (LCM) of 26819 and 26831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26819 and 26831. First we will calculate the prime factors of 26819 and 26831.

Prime Factorization of 26819

Prime factors of 26819 are 13, 2063. Prime factorization of 26819 in exponential form is:

26819 = 131 × 20631

Prime Factorization of 26831

Prime factors of 26831 are 7, 3833. Prime factorization of 26831 in exponential form is:

26831 = 71 × 38331

Now multiplying the highest exponent prime factors to calculate the LCM of 26819 and 26831.

LCM(26819,26831) = 131 × 20631 × 71 × 38331
LCM(26819,26831) = 719580589