LCM of 32 and 56 is 224. The Least Common multiple or Lowest Common Multiple is the full form of LCM. It is the smallest positive numeral that is divisible by the given set of numbers, which is 32 and 56 in this instance. For 32 and 56, 224 is the smallest number that is common in the set of multiples of 32 and 56. There are other common multiples out of which 224 is the smallest. The LCM is also known as LCD, Least Common Divisor for 32 and 56 is 224. Understand more on LCM.
What is LCM of 32 and 56
The Least Common Multiple or Lowest Common Multiple of 32 and 56 is 224.
How to Find LCM of 32 and 56?
LCM of 32 and 56 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 32 and 56 Using Prime Factorisation Method
For calculating the LCM of 32 and 56, using the Prime Factorisation method, the numbers 32 and 56 are expressed as the product of prime numbers. The union of the products form the LCM.
32 = 2 × 2 × 2 × 2 × 2
56 = 2 × 2 × 2 × 7
LCM (32, 56) = 2 × 2 × 2 × 2 × 2 × 7 = 224
LCM of 32 and 56 Using Division Method
For finding the LCM of 32 and 56 using the division method, divide the numbers 32 and 56 with the smallest number. ie 2. Continue the division till no further division is possible by 2, continue the division with the next prime number 3. The division is continued till the remainder is 1 for both the numbers.
|
2 |
32 |
56 |
|
2 |
16 |
28 |
|
2 |
8 |
14 |
|
2 |
4 |
7 |
|
2 |
2 |
7 |
|
7 |
1 |
7 |
|
× |
1 |
1 |
LCM (32, 56) = 2 × 2 × 2 × 2 × 2 × 7 = 224
LCM of 32 and 56 Using Listing the Multiples
Finding the LCM of 32 and 56 using listing of multiples method
- List the multiples of both 32 and 56
- The list should contain common multiples.
- The smallest in the list that is common to both numbers form the LCM.
|
Multiples of 32 |
Multiples of 56 |
|
32 |
56 |
|
64 |
112 |
|
96 |
168 |
|
128 |
224 |
|
160 |
280 |
|
192 |
336 |
|
224 |
392 |
LCM (32, 56) = 224
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 32 and 56?
Answer: 224 is the smallest number that is divisible by both 32 and 56.
What is the LCM for 2, 4, 8, 32 and 56?
Answer: LCM for 2, 4, 8, 32 and 56 is 224.
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