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What is the Least Common Multiple of 26544 and 26556?

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 26544 and 26556 is 58741872.

LCM(26544,26556) = 58741872

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Least Common Multiple of 26544 and 26556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26544 and 26556, than apply into the LCM equation.

GCF(26544,26556) = 12
LCM(26544,26556) = ( 26544 × 26556) / 12
LCM(26544,26556) = 704902464 / 12
LCM(26544,26556) = 58741872

Least Common Multiple (LCM) of 26544 and 26556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26544 and 26556. First we will calculate the prime factors of 26544 and 26556.

Prime Factorization of 26544

Prime factors of 26544 are 2, 3, 7, 79. Prime factorization of 26544 in exponential form is:

26544 = 24 × 31 × 71 × 791

Prime Factorization of 26556

Prime factors of 26556 are 2, 3, 2213. Prime factorization of 26556 in exponential form is:

26556 = 22 × 31 × 22131

Now multiplying the highest exponent prime factors to calculate the LCM of 26544 and 26556.

LCM(26544,26556) = 24 × 31 × 71 × 791 × 22131
LCM(26544,26556) = 58741872