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What is the Least Common Multiple of 26589 and 26605?

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 26589 and 26605 is 707400345.

LCM(26589,26605) = 707400345

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Least Common Multiple of 26589 and 26605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26589 and 26605, than apply into the LCM equation.

GCF(26589,26605) = 1
LCM(26589,26605) = ( 26589 × 26605) / 1
LCM(26589,26605) = 707400345 / 1
LCM(26589,26605) = 707400345

Least Common Multiple (LCM) of 26589 and 26605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26589 and 26605. First we will calculate the prime factors of 26589 and 26605.

Prime Factorization of 26589

Prime factors of 26589 are 3, 8863. Prime factorization of 26589 in exponential form is:

26589 = 31 × 88631

Prime Factorization of 26605

Prime factors of 26605 are 5, 17, 313. Prime factorization of 26605 in exponential form is:

26605 = 51 × 171 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 26589 and 26605.

LCM(26589,26605) = 31 × 88631 × 51 × 171 × 3131
LCM(26589,26605) = 707400345