LCM of 64 and 96 is 192. LCM which expands to Least Common Multiple or Lowest Common Multiple is the first positive integer that is divisible by the given group of numbers. Consider the example for finding the LCM of 64 and 96. The answer is 192. 192 is divisible by both 64 and 96. Even 384 is divisible by 64 and 96, however it is not the LCM for 64 and 96. The smaller number than 384 is 192 which is divisible by both 64 and 96. Hence 192 is the Least Common Multiple for 64 and 96. You can refer to LCM with Examples for better understanding.
What is LCM of 64 and 96
The Least Common Multiple or Lowest Common Multiple of 64 and 96 is 192.
How to Find LCM of 64 and 96?
LCM of 64 and 96 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 64 and 96 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 64 and 96 can be expressed as;
64 = 2 × 2 × 2 × 2 × 2 × 2
96 = 2 × 2 × 2 × 2 × 2 × 3
Product of the common prime factors of 64 and 96 and other prime factors is the LCM.
LCM (64, 96) = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 192
LCM of 64 and 96 Using Division Method
In the Division Method, both 64 and 96 are divided together with the same smallest prime divisor. The division completes when the reminders are 1. The product of the prime divisors of 64 and 96 is the LCM.
|
2 |
64 |
96 |
|
2 |
32 |
48 |
|
2 |
16 |
24 |
|
2 |
8 |
12 |
|
2 |
4 |
6 |
|
2 |
2 |
3 |
|
3 |
1 |
3 |
|
× |
1 |
1 |
LCM (64, 96) = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 192
LCM of 64 and 96 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 64 and 96
|
Multiples of 64 |
Multiples of 96 |
|
64 |
96 |
|
128 |
192 |
|
192 |
288 |
|
256 |
384 |
LCM (64, 96) = 192
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 64 and 96?
Answer: 192 is the smallest number that is divisible by both 64 and 96.
What is the LCM of 2, 4, 8, 64 and 96?
Answer: The LCM of 2, 4, 8, 64 and 96 is 192 as 2, 4 and 8 are all factors of 64 and 96.
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