LCM of 15 and 55 is 165. LCM can be defined as the smallest common multiple of two or more numbers. Solving the questions based on the LCM by referring to the article Least Common Multiple (LCM) helps the students learn the LCM concept proficiently. Students can use this article as the best source to revise the concept thoroughly before the exam. Here, we will learn the simple process of representing the least common multiple of 15 and 55 in a detailed manner.
What is LCM of 15 and 55?
The Least Common Multiple of 15 and 55 is 165.
How to Find LCM of 15 and 55?
LCM of 15 and 55 can be determined using three methods
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 15 and 55 Using Prime Factorisation Method
In the prime factorisation method, the given natural numbers are expressed as the product of prime factors. The least common multiple will be the product of all prime factors with the highest degree.
15 = 3 × 5
55 = 5 × 11
LCM (15, 55) = 3 × 5 × 11 = 165
LCM of 15 and 55 Using Division Method
In the division method, to determine the least common multiple of 15 and 55, we divide the numbers 15 and 55 by their prime factors until we get the result as one in the complete row. The product of these divisors depicts the least common multiple of 15 and 55.
| 3 | 15 | 55 |
| 5 | 5 | 55 |
| 11 | 1 | 11 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (15, 55) = 3 × 5 × 11 = 165
LCM of 15 and 55 Using Listing the Multiples
In this method, we list the multiples of 15 and 55 to find the least common multiple among them. Let us glance at the multiples of 15 and 55 from the table given below.
| Multiples of 15 | Multiples of 55 |
| 15 | 55 |
| 30 | 110 |
| 45 | 165 |
| 60 | 220 |
| 75 | 275 |
| 90 | 330 |
| 105 | 385 |
| 120 | 440 |
| 135 | 495 |
| 150 | 550 |
| 165 | 605 |
| 180 | 660 |
LCM (15, 55) = 165
Related Articles
Prime Factorization and Division Method for LCM and HCF
Video Lesson on Applications of LCM
Solved Examples
1. What is the smallest number that is divisible by both 15 and 55?
Solution: 165 is the smallest number that is divisible by both 15 and 55.
2. The GCD and LCM of the two numbers are 5 and 165. If one number is 15, what is the other number?
Solution: Let the other number be k
We know that,
GCD × LCM = 15 × k
k = (GCD × LCM) / 15
k = (5 × 165) / 15
k = 55
Hence the other number is 55.
Frequently Asked Questions on LCM of 15 and 55
What is the LCM of 15 and 55?
Mention the LCM of 15 and 55 and the HCF of 15 and 55.
Name the methods used to find the least common multiple of 15 and 55.
The methods used to find the least common multiple of 15 and 55 are:
Prime Factorisation
Division method
Listing the Multiples
Calculate the GCF if the LCM of 15 and 55 is 165.
GCF × LCM = 15 × 55
Given
LCM = 165
GCF × 165 = 15 × 55
GCF = 5
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