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What is the Least Common Multiple of 26844 and 26864?

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 26864 is 180284304.

LCM(26844,26864) = 180284304

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Least Common Multiple of 26844 and 26864 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 26864, than apply into the LCM equation.

GCF(26844,26864) = 4
LCM(26844,26864) = ( 26844 × 26864) / 4
LCM(26844,26864) = 721137216 / 4
LCM(26844,26864) = 180284304

Least Common Multiple (LCM) of 26844 and 26864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26844 and 26864. First we will calculate the prime factors of 26844 and 26864.

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 26864

Prime factors of 26864 are 2, 23, 73. Prime factorization of 26864 in exponential form is:

26864 = 24 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 26844 and 26864.

LCM(26844,26864) = 24 × 31 × 22371 × 231 × 731
LCM(26844,26864) = 180284304