Least Common Multiple (LCM)
1. Define Lowest Common Multiple with an example.
We define LCM or the Lowest Common Multiple of two numbers as the number that is lowest in value and is the multiple of both numbers. For example, the Lowest Common Multiple(LCM) of 5 and 15 is 15.
2. How to Find the Least Common Multiple (LCM)?
The Least Common Multiple (LCM) can easily be calculated using the given methods,
- Listing Method
- Prime Factorization Method
- Division Method
All these methods are discussed in the article.
3. What is the LCM of two Prime Numbers?
The LCM of two prime numbers is the product of the numbers.
4. What is Relation Between HCF and LCM?
The relation between HCF and LCM is, for two numbers ‘a’ and ‘b’.
“Product of a and b is equal to the product of HCF and LCM”, i.e.
LCM(a, b) × HCF(a, b) = a × b
5. What is the LCM of 25 and 75?
The LCM of 25 and 75 is 75.
6. What is the LCM of 12 and 8?
LCM of 8 and 12 is 24.
7. What is the LCM of 24 and 36?
LCM of 24 and 36 is 72.
8. Can the LCM of two numbers be smaller than both numbers?
No, the LCM of two numbers is always greater than or equal to the larger of the two numbers.
9. Can the LCM of a set of numbers be zero?
No, the LCM of a set of numbers is always a positive integer.
10. Is the LCM commutative?
Yes, the LCM is commutative, meaning that LCM(a, b) = LCM(b, a).
11. Can the LCM of two numbers be equal to one of the numbers?
Yes, if one of the numbers is a factor of the other, then the LCM can be equal to the larger number.
12. What is the Least Common Multiple Calculator?
Least Common Multiple (LCM) calculator is a tool or mathematical utility that calculates the least common multiple of two or more numbers. The LCM of two or more numbers is the smallest multiple that is evenly divisible by each of those numbers.
Lowest Common Multiple – LCM
Least Common Multiple in maths is abbreviated as LCM and is used to find a number that is the smallest number that is divisible by two or more numbers perfectly. In other words, the LCM is the smallest multiple that each of the given numbers divides into evenly. LCM stands for Least Common Multiple i.e., LCM is the smallest multiple which is common for all the given numbers. We can easily find the LCM of two or more numbers by simply finding the prime factor of the given numbers and then taking the highest power of each factor of the numbers.
In this article, we will learn about Least Common Multiple (LCM) in maths, how to calculate LCM, its examples, and others in detail.
Table of Content
- What is Least Common Multiple (LCM)?
- How to Find the LCM of two Numbers?
- Finding LCM using Listing Method
- Finding LCM using Prime Factorization Method
- Finding LCM using Division Method
- Least Common Multiple (LCM) Formula
- Relationship Between LCM and HCF
- Difference Between LCM and HCF
- LCM of Three Numbers
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