GCF and LCM Calculator Logo

What is the Least Common Multiple of 26405 and 26425?

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 26405 and 26425 is 139550425.

LCM(26405,26425) = 139550425

LCM Calculator and
and

Least Common Multiple of 26405 and 26425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26405 and 26425, than apply into the LCM equation.

GCF(26405,26425) = 5
LCM(26405,26425) = ( 26405 × 26425) / 5
LCM(26405,26425) = 697752125 / 5
LCM(26405,26425) = 139550425

Least Common Multiple (LCM) of 26405 and 26425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26405 and 26425. First we will calculate the prime factors of 26405 and 26425.

Prime Factorization of 26405

Prime factors of 26405 are 5, 5281. Prime factorization of 26405 in exponential form is:

26405 = 51 × 52811

Prime Factorization of 26425

Prime factors of 26425 are 5, 7, 151. Prime factorization of 26425 in exponential form is:

26425 = 52 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 26405 and 26425.

LCM(26405,26425) = 52 × 52811 × 71 × 1511
LCM(26405,26425) = 139550425