**RESULT**

LCM(**75**, **100**) = **300**

**DESCRIPTIONS**

Prime factorization of 75 :

(**75** = **3** × **5** × **5**)

Prime factorization of 100 :

(**100** = **2** × **2** × **5** × **5**)

- 75 =
**3**××__5____5__ - 100 =
**2**×**2**××__5____5__

Provided that the common prime factors (**5** and **5**) appear in the multiplication only once, the LCM of 75 and 100 is equal to the product of all prime factors.

LCM(**75**, **100**) = **5** × **5** × **3** × **2** × **2** = **300**

The solution and descriptions above are generated by the LCM calculator. You can use the LCM calculator to see the least common multiples of other numbers.

The least common multiple (LCM) of two positive whole numbers is the smallest number that is divisible by these numbers. LCM can be found by factoring the given numbers. Provided that the common prime factors appear in the multiplication only once, LCM is equal to the product of all prime factors.

👉 Click here to see the LCM calculation of 75 and 100 using the cake method.

👉 Click here to see the GCF calculation of 75 and 100 using the cake method.

👉 Click here to see the GCF calculation of 75 and 100 using the prime factorization method.