According to Wikipedia,

In arithmetic and number theory, the **least common multiple**, **lowest common multiple**, or **smallest common multiple** of two integers *a* and *b*, usually denoted by **LCM( a, b)**, is the smallest positive integer that is divisible by both

*a*and

*b*.

^{]}Since division of integers by zero is undefined, this definition has meaning only if

*a*and

*b*are both different from zero.

^{}However, some authors define LCM (

*a*,0) as 0 for all

*a*, which is the result of taking the LCM to be the least upper bound in the lattice of divisibility.

The LCM is the “lowest common denominator” (LCD) that can be used before fractions can be added, subtracted or compared. The LCM of more than two integers is also well-defined: it is the smallest positive integer that is divisible by each of them.

According to Math is Fun,

The highest common factor or greatest common divisor is the highest number that divides exactly into two or more numbers. It is the “greatest” thing for simplifying fractions!

Nickzom Calculator is capable of computing for a small or large range of numbers in determining the **lowest common multiple** or** highest common factor**

When it comes to lowest common multiple, popularly known as LCM for a range of numbers, it takes the multiples of all the numbers that can divide the range of numbers till the range of numbers are all 1.

When it comes to the highest common factor, popularly known as HCF or GCD, it takes the multiple of the numbers that can only divide through all the ranges of numbers simultaneously.

If you have been following this blog by now, you must have known that the first thing to do is?

**Proceed to the Calculator Map**

Highest Common Factor and Lowest Common Multiple are under **Pre-Algebra**.

Let’s begin with the Lowest Common Multiple

This is the interface for entering your range of numbers to determine the LCM.

Let’s find the LCM for 5 numbers which are 4, 12, 8, 20, 22

Once you have entered the numbers click on the **Calculate** button

Hurray! You answer comes up with the workings on how the lowest common multiple was computed immediately.

Now, lets proceed to the Highest Common Factor, click on the **Pre – Algebra** navigation link as shown below.

Proceed to click on **Highest Common Factor**

Now, lets compute the highest common factor for 6 numbers which are: 14, 20, 18, 22, 24, 10. Enter the your values.

Click on the **Calculate** Button

Once again, Nickzom Calculator delivers with a well detailed answer for obtaining the **highest common factor**.

is is very simple.

One can access **Nickzom Calculator+** (The Calculator Encyclopedia) via any of these channels:

Web – https://www.nickzom.org/calculator-plus

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

**Peace!**