What is the Least Common Multiple of 26300 and 26315?

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 26300 and 26315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26300 and 26315, than apply into the LCM equation.

GCF(26300,26315) = 5
LCM(26300,26315) = ( 26300 × 26315) / 5
LCM(26300,26315) = 692084500 / 5
LCM(26300,26315) = 138416900

Least Common Multiple (LCM) of 26300 and 26315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26300 and 26315. First we will calculate the prime factors of 26300 and 26315.

Prime Factorization of 26300

Prime Factorization of 26315

Now multiplying the highest exponent prime factors to calculate the LCM of 26300 and 26315.

LCM(26300,26315) = 2² × 5² × 263¹ × 19¹ × 277¹
LCM(26300,26315) = 138416900