LCM of 7 and 9 is 63. The LCM of any two integers in mathematics is the value that is evenly divisible by the two values. Among all common multiples of 7 and 9, the LCM of 7 and 9 is the smallest number. (7, 14, 21, 28, 35, 42,…) and (9, 18, 27, 36, 45,…) are the first few multiples of 7 and 9. Listing multiples, division technique, and prime factorization are the three most frequent ways to find the LCM of 7 and 9.
Also read: Least common multiple
What is LCM of 7 and 9?
The answer to this question is 63. The LCM of 7 and 9 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 7 and 9, is the smallest positive integer 63 which is divisible by both 7 and 9 with no remainder.
How to Find LCM of 7 and 9?
LCM of 7 and 9 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 7 and 9 Using Prime Factorisation Method
The prime factorisation of 7 and 9, respectively, is given by:
12 = 3 x 3 = 3²
7 = 7¹
LCM (7, 9) = 63
LCM of 7 and 9 Using Division Method
We’ll divide the numbers (7, 9) by their prime factors to get the LCM of 7 and 9 using the division method (preferably common). The LCM of 7 and 9 is calculated by multiplying these divisors.
|
3 |
7 |
9 |
|
3 |
7 |
3 |
|
7 |
7 |
1 |
|
1 |
1 |
No further division can be done.
Hence, LCM (7, 9) = 63
LCM of 7 and 9 Using Listing the Multiples
To calculate the LCM of 7 and 9 by listing out the common multiples, list the multiples as shown below
|
Multiples of 7 |
Multiples of 9 |
|
7 |
9 |
|
14 |
18 |
|
21 |
27 |
|
28 |
36 |
|
35 |
45 |
|
42 |
54 |
|
49 |
63 |
|
56 |
72 |
|
63 |
81 |
The smallest common multiple of 7 and 9 is 63.
LCM (7, 9) = 63
Related Articles
Video Lesson on Applications of LCM
LCM of 7 and 9 Solved Example
The product of two numbers is 63. If their GCD is 1, what is their LCM?
Solution:
Given: GCD = 1
product of numbers = 63
LCM × GCD = product of numbers
LCM = Product/GCD = 63/1
Therefore, the LCM is 63.
The probable combination for the given case is LCM(7, 9) = 63.
Frequently Asked Questions on LCM of 7 and 9
What is the LCM of 7 and 9?
What is the Least Perfect Square Divisible by 7 and 9?
LCM of 7 and 9 = 3 × 3 × 7 [Incomplete pair(s): 7] ⇒ Least perfect square divisible by each 7 and 9 = LCM(7, 9) × 7 = 441 [Square root of 441 = √441 = ±21] Therefore, 441 is the required number.
How to Find the LCM of 7 and 9 by Prime Factorization?
⇒ LCM of 7, 9 = 32 × 71 = 63.
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