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What is the Least Common Multiple of 26315 and 26333?

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 26315 and 26333 is 692952895.

LCM(26315,26333) = 692952895

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Least Common Multiple of 26315 and 26333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26315 and 26333, than apply into the LCM equation.

GCF(26315,26333) = 1
LCM(26315,26333) = ( 26315 × 26333) / 1
LCM(26315,26333) = 692952895 / 1
LCM(26315,26333) = 692952895

Least Common Multiple (LCM) of 26315 and 26333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26315 and 26333. First we will calculate the prime factors of 26315 and 26333.

Prime Factorization of 26315

Prime factors of 26315 are 5, 19, 277. Prime factorization of 26315 in exponential form is:

26315 = 51 × 191 × 2771

Prime Factorization of 26333

Prime factors of 26333 are 17, 1549. Prime factorization of 26333 in exponential form is:

26333 = 171 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 26315 and 26333.

LCM(26315,26333) = 51 × 191 × 2771 × 171 × 15491
LCM(26315,26333) = 692952895