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What is the Least Common Multiple of 26315 and 26330?

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 26330 is 138574790.

LCM(26315,26330) = 138574790

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Least Common Multiple of 26315 and 26330 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 26330, than apply into the LCM equation.

GCF(26315,26330) = 5
LCM(26315,26330) = ( 26315 × 26330) / 5
LCM(26315,26330) = 692873950 / 5
LCM(26315,26330) = 138574790

Least Common Multiple (LCM) of 26315 and 26330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26315 and 26330. First we will calculate the prime factors of 26315 and 26330.

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 26330

Prime factors of 26330 are 2, 5, 2633. Prime factorization of 26330 in exponential form is:

26330 = 21 × 51 × 26331

Now multiplying the highest exponent prime factors to calculate the LCM of 26315 and 26330.

LCM(26315,26330) = 51 × 191 × 2771 × 21 × 26331
LCM(26315,26330) = 138574790