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What is the Least Common Multiple of 26289 and 26305?

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 26289 and 26305 is 691532145.

LCM(26289,26305) = 691532145

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Least Common Multiple of 26289 and 26305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26289 and 26305, than apply into the LCM equation.

GCF(26289,26305) = 1
LCM(26289,26305) = ( 26289 × 26305) / 1
LCM(26289,26305) = 691532145 / 1
LCM(26289,26305) = 691532145

Least Common Multiple (LCM) of 26289 and 26305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26289 and 26305. First we will calculate the prime factors of 26289 and 26305.

Prime Factorization of 26289

Prime factors of 26289 are 3, 23, 127. Prime factorization of 26289 in exponential form is:

26289 = 32 × 231 × 1271

Prime Factorization of 26305

Prime factors of 26305 are 5, 5261. Prime factorization of 26305 in exponential form is:

26305 = 51 × 52611

Now multiplying the highest exponent prime factors to calculate the LCM of 26289 and 26305.

LCM(26289,26305) = 32 × 231 × 1271 × 51 × 52611
LCM(26289,26305) = 691532145