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What is the Least Common Multiple of 26368 and 26381?

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 26368 and 26381 is 695614208.

LCM(26368,26381) = 695614208

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Least Common Multiple of 26368 and 26381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26368 and 26381, than apply into the LCM equation.

GCF(26368,26381) = 1
LCM(26368,26381) = ( 26368 × 26381) / 1
LCM(26368,26381) = 695614208 / 1
LCM(26368,26381) = 695614208

Least Common Multiple (LCM) of 26368 and 26381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26368 and 26381. First we will calculate the prime factors of 26368 and 26381.

Prime Factorization of 26368

Prime factors of 26368 are 2, 103. Prime factorization of 26368 in exponential form is:

26368 = 28 × 1031

Prime Factorization of 26381

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

26381 = 231 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 26368 and 26381.

LCM(26368,26381) = 28 × 1031 × 231 × 311 × 371
LCM(26368,26381) = 695614208