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What is the Least Common Multiple of 26205 and 26217?

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 26205 and 26217 is 229005495.

LCM(26205,26217) = 229005495

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Least Common Multiple of 26205 and 26217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26205 and 26217, than apply into the LCM equation.

GCF(26205,26217) = 3
LCM(26205,26217) = ( 26205 × 26217) / 3
LCM(26205,26217) = 687016485 / 3
LCM(26205,26217) = 229005495

Least Common Multiple (LCM) of 26205 and 26217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26205 and 26217. First we will calculate the prime factors of 26205 and 26217.

Prime Factorization of 26205

Prime factors of 26205 are 3, 5, 1747. Prime factorization of 26205 in exponential form is:

26205 = 31 × 51 × 17471

Prime Factorization of 26217

Prime factors of 26217 are 3, 971. Prime factorization of 26217 in exponential form is:

26217 = 33 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 26205 and 26217.

LCM(26205,26217) = 33 × 51 × 17471 × 9711
LCM(26205,26217) = 229005495