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What is the Least Common Multiple of 26793 and 26805?

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 26793 and 26805 is 239395455.

LCM(26793,26805) = 239395455

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Least Common Multiple of 26793 and 26805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26793 and 26805, than apply into the LCM equation.

GCF(26793,26805) = 3
LCM(26793,26805) = ( 26793 × 26805) / 3
LCM(26793,26805) = 718186365 / 3
LCM(26793,26805) = 239395455

Least Common Multiple (LCM) of 26793 and 26805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26793 and 26805. First we will calculate the prime factors of 26793 and 26805.

Prime Factorization of 26793

Prime factors of 26793 are 3, 13, 229. Prime factorization of 26793 in exponential form is:

26793 = 32 × 131 × 2291

Prime Factorization of 26805

Prime factors of 26805 are 3, 5, 1787. Prime factorization of 26805 in exponential form is:

26805 = 31 × 51 × 17871

Now multiplying the highest exponent prime factors to calculate the LCM of 26793 and 26805.

LCM(26793,26805) = 32 × 131 × 2291 × 51 × 17871
LCM(26793,26805) = 239395455