LCM of 22 and 44 is 44. The Least Common Multiple or Lowest Common Multiple known as LCM is the smallest number that is divisible by the given numbers. In the given set of numbers 22 and 44, 44 is the first(least or smallest) number that is common in the set of multiples of 22 and 44. 440 is also the common multiple of 22 and 44. However, 44 is the smallest. Hence 44 is the LCM which is also known as LCD, Least Common Divisor for 22 and 44. You can read more on LCM for further details.
What is LCM of 22 and 44
The Least Common Multiple or Lowest Common Multiple of 22 and 44 is 44.
How to Find LCM of 22 and 44?
LCM of 22 and 44 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 22 and 44 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 22 and 44 can be expressed as;
22 = 2 × 11
44 = 2 × 2 × 11
22 is the factor of 44. Hence 22 is multiplied by 2 to get the LCM.
LCM (22, 44) = 2 × 2 × 11 = 44
LCM of 22 and 44 Using Division Method
In the Division Method, the numbers 22 and 44 are divided together by prime divisors. Product of the prime divisors is the LCM.
|
2 |
22 |
44 |
|
2 |
11 |
22 |
|
11 |
11 |
11 |
|
× |
1 |
1 |
LCM (22, 44) = 2 × 2 × 11 = 44
LCM of 22 and 44 Using Listing the Multiples
By listing all the multiples of 22 and 44, we can identify the LCM. Below is the list of multiples for 22 and 44.
Multiples of 22: 22, 44, 66, 88…
Multiples of 44:44, 88, 132…
LCM (22, 44) = 44
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 22 and 44?
Answer: 44 is the smallest number that is divisible by both 22 and 44.
What is the LCM for 2, 11, 22 and 44?
Answer: LCM for 2, 11, 22 and 44 is 44.
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