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What is the Least Common Multiple of 26381 and 26399?

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 26381 and 26399 is 696432019.

LCM(26381,26399) = 696432019

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Least Common Multiple of 26381 and 26399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26381 and 26399, than apply into the LCM equation.

GCF(26381,26399) = 1
LCM(26381,26399) = ( 26381 × 26399) / 1
LCM(26381,26399) = 696432019 / 1
LCM(26381,26399) = 696432019

Least Common Multiple (LCM) of 26381 and 26399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26381 and 26399. First we will calculate the prime factors of 26381 and 26399.

Prime Factorization of 26381

Prime factors of 26381 are 23, 31, 37. Prime factorization of 26381 in exponential form is:

26381 = 231 × 311 × 371

Prime Factorization of 26399

Prime factors of 26399 are 26399. Prime factorization of 26399 in exponential form is:

26399 = 263991

Now multiplying the highest exponent prime factors to calculate the LCM of 26381 and 26399.

LCM(26381,26399) = 231 × 311 × 371 × 263991
LCM(26381,26399) = 696432019