What is the Least Common Multiple of 26315 and 26335?

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 of 26315 and 26335 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 26335, than apply into the LCM equation.

GCF(26315,26335) = 5
LCM(26315,26335) = ( 26315 × 26335) / 5
LCM(26315,26335) = 693005525 / 5
LCM(26315,26335) = 138601105

Least Common Multiple (LCM) of 26315 and 26335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26315 and 26335. First we will calculate the prime factors of 26315 and 26335.

Prime Factorization of 26315

Prime Factorization of 26335

Now multiplying the highest exponent prime factors to calculate the LCM of 26315 and 26335.

LCM(26315,26335) = 5¹ × 19¹ × 277¹ × 23¹ × 229¹
LCM(26315,26335) = 138601105