LCM of 22 and 55 is 110. The number which is divisible evenly by 22 and 55 denotes the LCM. The common multiples of the given two numbers is the least common multiple of 22 and 55. The multiples of 22 are (22, 44, 66, 88, 110, 132, ….) and the multiples of 55 are (55, 110, 165, 220, 275, ….) respectively. You can find the LCM value with ease using prime factorisation, division and by listing out the multiples of 22 and 55.
Also read: Least common multiple
What is LCM of 22 and 55?
The answer to this question is 110. The LCM of 22 and 55 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 22 and 55, is the smallest positive integer 110 which is divisible by both 22 and 55 with no remainder.
How to Find LCM of 22 and 55?
LCM of 22 and 55 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 22 and 55 Using Prime Factorisation Method
The prime factorisation of 22 and 55, respectively, is given by:
22 = 2 x 11 = 2¹ x 11¹
55 = 5 x 11 = 5¹ x 11¹
LCM (22, 55) = 110
LCM of 22 and 55 Using Division Method
We’ll divide the numbers (22, 55) by their prime factors to get the LCM of 22 and 55 using the division method (preferably common). The LCM of 22 and 55 is calculated by multiplying these divisors.
|
2 |
22 |
55 |
|
5 |
11 |
55 |
|
11 |
11 |
11 |
|
x |
1 |
1 |
No further division can be done.
Hence, LCM (22, 55) = 110
LCM of 22 and 55 Using Listing the Multiples
To calculate the LCM of 22 and 55 by listing out the common multiples, list the multiples as shown below
|
Multiples of 22 |
Multiples of 55 |
|
22 |
55 |
|
44 |
110 |
|
66 |
165 |
|
88 |
220 |
|
110 |
275 |
|
132 |
330 |
LCM (22, 55) = 110
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LCM of 22 and 55 Solved Examples
Question: The LCM and GCD of two numbers are 110 and 11. If one number is 22, what is the other number?
Solution:
Consider the number as z
We know that
GCD x LCM = 22 x z
z = (GCD x LCM)/22
Substituting the values
z = (11 x 110)/22
z = 55
Hence, the other number is 55.
Frequently Asked Questions on LCM of 22 and 55
Calculate the GCF if the LCM of 22 and 55 is 110.
We know that;
LCM x GCF = 22 x 55
As LCM (22, 55) is 110
110 x GCF = 1210
GCF = 1210/110 = 11
Find the LCM of 22 and 55.
Show the relation between GCF and LCM of 22 and 55.
The relation between GCF and LCM of 22 and 55 is
LCM x GCF = 22 x 55
LCM x GCF = 1210
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