LCM of 23 and 69 is 69. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples. The lowest number between 23 and 69 is the LCM. (23, 46, 69, 92, 115, 138, 161, etc.) and (69, 138, 207, 276, etc.) are the first few multiples of 23 and 69, respectively.
Also read: Least common multiple
What is LCM of 23 and 69?
The answer to this question is 69. The LCM of 23 and 69 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 23 and 69, is the smallest positive integer 69 which is divisible by both 23 and 69 with no remainder.
How to Find LCM of 23 and 69?
LCM of 23 and 69 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 23 and 69 Using Prime Factorisation Method
The prime factorisation of 23 and 69, respectively, is given by:
(23) = 231 and (3 × 23) = 31 × 231
LCM (23, 69) = 69
LCM of 23 and 69 Using Division Method
We’ll divide the numbers (23, 69) by their prime factors to get the LCM of 23 and 69 using the division method (preferably common). The LCM of 23 and 69 is calculated by multiplying these divisors.
| 3 | 23 | 69 |
| 23 | 23 | 23 |
| 1 | 1 |
No further division can be done.
Hence, LCM (23, 69) = 69
LCM of 23 and 69 Using Listing the Multiples
To calculate the LCM of 23 and 69 by listing out the common multiples, list the multiples as shown below
| Multiples of 23 | Multiples of 69 |
| 23 | 69 |
| 46 | 137 |
| 69 | 208 |
| 92 | 276 |
| 115 |
The smallest common multiple of 23 and 69 is 72.
Therefore LCM (23, 69) = 69
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LCM of 23 and 69 Solved Example
Find the smallest number that is divisible by 23 and 69 exactly.
Solution:
The smallest number that is divisible by 23 and 69 exactly is their LCM.
⇒ Multiples of 23 and 69:
Multiples of 23 = 23, 46, 69, 92, 115, . . . .
Multiples of 69 = 69, 138, 207, 276, 345, . . . .
Therefore, the LCM of 23 and 69 is 69.
Frequently Asked Questions on LCM of 23 and 69
What is the LCM of 23 and 69?
List the methods used to find the LCM of 23 and 69.
If the LCM of 69 and 23 is 69, Find its GCF.
Since the LCM of 69 and 23 = 69
⇒ 69 × GCF(69, 23) = 1587
Therefore, the GCF (greatest common factor) = 1587/69 = 23.
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