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What is the Least Common Multiple of 25990 and 26005?

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 25990 and 26005 is 135173990.

LCM(25990,26005) = 135173990

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Least Common Multiple of 25990 and 26005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25990 and 26005, than apply into the LCM equation.

GCF(25990,26005) = 5
LCM(25990,26005) = ( 25990 × 26005) / 5
LCM(25990,26005) = 675869950 / 5
LCM(25990,26005) = 135173990

Least Common Multiple (LCM) of 25990 and 26005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25990 and 26005. First we will calculate the prime factors of 25990 and 26005.

Prime Factorization of 25990

Prime factors of 25990 are 2, 5, 23, 113. Prime factorization of 25990 in exponential form is:

25990 = 21 × 51 × 231 × 1131

Prime Factorization of 26005

Prime factors of 26005 are 5, 7, 743. Prime factorization of 26005 in exponential form is:

26005 = 51 × 71 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 25990 and 26005.

LCM(25990,26005) = 21 × 51 × 231 × 1131 × 71 × 7431
LCM(25990,26005) = 135173990