GCF and LCM Calculator Logo

What is the Least Common Multiple of 26389 and 26406?

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 26389 and 26406 is 696827934.

LCM(26389,26406) = 696827934

LCM Calculator and
and

Least Common Multiple of 26389 and 26406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26389 and 26406, than apply into the LCM equation.

GCF(26389,26406) = 1
LCM(26389,26406) = ( 26389 × 26406) / 1
LCM(26389,26406) = 696827934 / 1
LCM(26389,26406) = 696827934

Least Common Multiple (LCM) of 26389 and 26406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26389 and 26406. First we will calculate the prime factors of 26389 and 26406.

Prime Factorization of 26389

Prime factors of 26389 are 11, 2399. Prime factorization of 26389 in exponential form is:

26389 = 111 × 23991

Prime Factorization of 26406

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

26406 = 21 × 34 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 26389 and 26406.

LCM(26389,26406) = 111 × 23991 × 21 × 34 × 1631
LCM(26389,26406) = 696827934