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What is the Least Common Multiple of 26844 and 26849?

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 26844 and 26849 is 720734556.

LCM(26844,26849) = 720734556

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Least Common Multiple of 26844 and 26849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26844 and 26849, than apply into the LCM equation.

GCF(26844,26849) = 1
LCM(26844,26849) = ( 26844 × 26849) / 1
LCM(26844,26849) = 720734556 / 1
LCM(26844,26849) = 720734556

Least Common Multiple (LCM) of 26844 and 26849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26844 and 26849. First we will calculate the prime factors of 26844 and 26849.

Prime Factorization of 26844

Prime factors of 26844 are 2, 3, 2237. Prime factorization of 26844 in exponential form is:

26844 = 22 × 31 × 22371

Prime Factorization of 26849

Prime factors of 26849 are 26849. Prime factorization of 26849 in exponential form is:

26849 = 268491

Now multiplying the highest exponent prime factors to calculate the LCM of 26844 and 26849.

LCM(26844,26849) = 22 × 31 × 22371 × 268491
LCM(26844,26849) = 720734556