Least Common Multiple Calculator (LCM)
A Least Common Multiple Calculator is a handy tool for finding the smallest common multiple of two or more numbers.
Share This Calculator
Related Calculators
least common multiple calculation example formula
What is a Least Common Multiple (LCM) ?
The littlest positive number that’s separable by each of the given numbers with the leaving of a remainder is the least common multiple (LCM) of two or more integrable numbers. And that is the least common of the numbers, in other words.
Here we take numbers 4 and 6, for example.
The products of 4 are 4, 8, 12, 16, 20, 24, 28,…
and the products of 6 are 6, 12, 18, 24, 30, 36,…
The slightest common difference is the littlest number in both records, which is 12. Subsequently, the LCM of 4 and 6 is 12.
We have given the calculation equation of the last common multiple calculation over two pictures.
Here are two examples of least common multiple calculations, each using a different method:
1: Here, we take an example in which we will use the brute force method.
For example, we will find the least common multiple (LCM) of 8 and 12.
First, we will write a list of multiples of 8: 8, 16, 24, 32, 40, 48,
Now we will write a list of multiples of 12: 12, 24, 36, 48, 60,
Now, we will identify the first number that appears in both lists. 24.
So, the LCM of 8 and 12 is 24.
2. Here, we take an example in which we will use the prime factorization method.
Here, we will find the LCM of 15 and 20, for example.
Here, we will factor each number into prime factors. 15 = 3 × 5
20 = 2 × 2 × 5
Now, we will identify the highest power of each prime factor present in any number.
3. occurs once in both numbers (the highest power is 1).
5. occurs once in both numbers (the highest power is 1).
2. occurs twice in 20 (the highest power is 1; the lowest power is 2). Now, we will multiply the prime factors by their highest powers. LCM = 3^1 × 5^1 × 2^2 = 60 So, the LCM of 15 and 20 is 60.
What is Least Common Multiple Calculator (LCM)
The Least Common Multiple Calculator (LCM) is quite simple to use and is only used in finding the least common multiple of two numbers. The number has to be entered. This shows the Least Common Multiple and makes it easier for a person to get the Least Common Multiple.
The intended purpose of the Least Common Multiple Calculator (LCM) is mainly to help compute the Least Common Multiple. It is useful in whatever field you are working in as an engineer, businessperson, student, and the other in calculating the Least Common Multiple. Thus, you may save time and pick better solutions.
Use this Greatest Common Divisor Calculator (GCD)to Quickly calculate the Greatest Common Divisor of a set of numbers.
Use this Least Common Denominator Calculator (LCD) to Quickly calculate the least common denominator of a set of numbers.