LCM of 33 and 44 is 132. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 33 and 44, 132 is the first(least or smallest) number that is common in the set of multiples of 33 and 44. 1320 is also the common multiple of 33 and 44. However, 132 is the smallest. Hence 132 is the LCM which is also known as LCD, Least Common Divisor for 33 and 44. You can read more on LCM for further details.
What is LCM of 33 and 44
The Least Common Multiple or Lowest Common Multiple of 33 and 44 is 132.
How to Find LCM of 33 and 44?
LCM of 33 and 44 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 33 and 44 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 33 and 44 can be expressed as;
33 = 3 × 11
44 = 2 × 2 × 11
LCM (33, 44) = 2 × 2 × 11 = 132
LCM of 33 and 44 Using Division Method
In the Division Method, the given set of numbers 33 and 44 are divided by prime factors. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left.
|
2 |
33 |
44 |
|
2 |
33 |
22 |
|
3 |
33 |
11 |
|
11 |
11 |
11 |
|
× |
1 |
1 |
LCM (33, 44) = 2 × 2 × 3 × 11 = 132
LCM of 33 and 44 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 33 and 44
|
Multiples of 33 |
Multiples of 44 |
|
33 |
44 |
|
66 |
88 |
|
99 |
132 |
|
132 |
176 |
|
165 |
220 |
LCM (33, 44) = 132
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 33 and 44?
Answer: 132 is the smallest number that is divisible by both 33 and 44.
What is the LCM for 11, 33 and 44?
Answer: LCM for 11, 33 and 44 is 132 as 11 is the prime factor of 33 and 44.
Comments