LCM of 7 and 13 is 91. The Least Common multiple or Lowest common multiple or LCD – Least Common Divisor mostly 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 7 and 13, 91 is the first(least or smallest) number that is common in the set of multiples of 7 and 13. You can find the LCM using the methods mentioned at Prime Factorization and Division method.
What is LCM of 7 and 13
The Least Common Multiple or Lowest Common Multiple of 7 and 13 is 91.
How to Find LCM of 7 and 13?
LCM of 7 and 13 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 7 and 13 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 7 and 13 can be expressed as;
7 = 7 x 1
13 = 1 x 13
LCM (7, 13) = 7 x 13 = 91
LCM of 7 and 13 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left.
|
7 |
7 |
13 |
|
13 |
1 |
13 |
|
x |
1 |
1 |
Hence, LCM (7, 13) = 7 x 13 = 91
LCM of 7 and 13 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 7 and 13
|
Multiples of 7 |
Multiples of 13 |
|
7 |
13 |
|
14 |
26 |
|
21 |
39 |
|
28 |
52 |
|
35 |
65 |
|
42 |
78 |
|
49 |
91 |
|
56 |
104 |
|
63 |
130 |
|
70 |
143 |
|
77 |
156 |
|
84 |
169 |
|
91 |
182 |
|
98 |
195 |
LCM (7, 13) = 91
Related Articles
Video Lesson on Applications of LCM
Solved Examples
- What is the smallest number that is divisible by both 7 and 13?
Answer: 91 is the smallest number that is divisible by both 7 and 13.
2. What is the LCM for 1, 7 and 13?
Answer: LCM for 1, 7 and 13 is 91.
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