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What is the Least Common Multiple of 26787 and 26794?

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 26787 and 26794 is 717730878.

LCM(26787,26794) = 717730878

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Least Common Multiple of 26787 and 26794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26787 and 26794, than apply into the LCM equation.

GCF(26787,26794) = 1
LCM(26787,26794) = ( 26787 × 26794) / 1
LCM(26787,26794) = 717730878 / 1
LCM(26787,26794) = 717730878

Least Common Multiple (LCM) of 26787 and 26794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26787 and 26794. First we will calculate the prime factors of 26787 and 26794.

Prime Factorization of 26787

Prime factors of 26787 are 3, 8929. Prime factorization of 26787 in exponential form is:

26787 = 31 × 89291

Prime Factorization of 26794

Prime factors of 26794 are 2, 13397. Prime factorization of 26794 in exponential form is:

26794 = 21 × 133971

Now multiplying the highest exponent prime factors to calculate the LCM of 26787 and 26794.

LCM(26787,26794) = 31 × 89291 × 21 × 133971
LCM(26787,26794) = 717730878