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What is the Least Common Multiple of 26396 and 26401?

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 26396 and 26401 is 696880796.

LCM(26396,26401) = 696880796

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Least Common Multiple of 26396 and 26401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26396 and 26401, than apply into the LCM equation.

GCF(26396,26401) = 1
LCM(26396,26401) = ( 26396 × 26401) / 1
LCM(26396,26401) = 696880796 / 1
LCM(26396,26401) = 696880796

Least Common Multiple (LCM) of 26396 and 26401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26396 and 26401. First we will calculate the prime factors of 26396 and 26401.

Prime Factorization of 26396

Prime factors of 26396 are 2, 6599. Prime factorization of 26396 in exponential form is:

26396 = 22 × 65991

Prime Factorization of 26401

Prime factors of 26401 are 17, 1553. Prime factorization of 26401 in exponential form is:

26401 = 171 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 26396 and 26401.

LCM(26396,26401) = 22 × 65991 × 171 × 15531
LCM(26396,26401) = 696880796