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What is the Least Common Multiple of 26165 and 26184?

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 26165 and 26184 is 685104360.

LCM(26165,26184) = 685104360

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Least Common Multiple of 26165 and 26184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26165 and 26184, than apply into the LCM equation.

GCF(26165,26184) = 1
LCM(26165,26184) = ( 26165 × 26184) / 1
LCM(26165,26184) = 685104360 / 1
LCM(26165,26184) = 685104360

Least Common Multiple (LCM) of 26165 and 26184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26165 and 26184. First we will calculate the prime factors of 26165 and 26184.

Prime Factorization of 26165

Prime factors of 26165 are 5, 5233. Prime factorization of 26165 in exponential form is:

26165 = 51 × 52331

Prime Factorization of 26184

Prime factors of 26184 are 2, 3, 1091. Prime factorization of 26184 in exponential form is:

26184 = 23 × 31 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 26165 and 26184.

LCM(26165,26184) = 51 × 52331 × 23 × 31 × 10911
LCM(26165,26184) = 685104360