LCM of 64 and 80 is 72. The smallest number among all common multiples of 64 and 80 is the LCM of 64 and 80. (64, 128, 192, 256, 320, 384, 448,…) and (80, 160, 240, 320, 400, 480, 560,…) are the first few multiples of 64 and 80, respectively. To find the LCM of 64 and 80, there are three main methods: division, prime factorization, and listing multiples. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers.
Also read: Least common multiple
What is LCM of 64 and 80?
The answer to this question is 320. The LCM of 64 and 80 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 64 and 80, is the smallest positive integer 320 which is divisible by both 64 and 80 with no remainder.
How to Find LCM of 64 and 80?
LCM of 64 and 80 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 64 and 80 Using Prime Factorisation Method
The prime factorisation of 64 and 80, respectively, is given by:
64 = (2 × 2 × 2 × 2 × 2 × 2) = 26 and
80 = (2 × 2 × 2 × 2 × 5) = 24 × 51
LCM (64, 80) = 320
LCM of 64 and 80 Using Division Method
We’ll divide the numbers (64, 80) by their prime factors to get the LCM of 64 and 80 using the division method (preferably common). The LCM of 64 and 80 is calculated by multiplying these divisors.
| 2 | 64 | 80 |
| 2 | 32 | 40 |
| 2 | 16 | 20 |
| 2 | 8 | 10 |
| 2 | 4 | 5 |
| 2 | 2 | 5 |
| 5 | 1 | 5 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (64, 80) = 320
LCM of 64 and 80 Using Listing the Multiples
To calculate the LCM of 64 and 80 by listing out the common multiples, list the multiples as shown below
| Multiples of 64 | Multiples of 80 |
| 64 | 80 |
| 128 | 160 |
| 192 | 240 |
| 256 | 320 |
| 320 | 400 |
The smallest common multiple of 64 and 80 is 320.
Therefore LCM (64, 80) = 320
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LCM of 64 and 80 Solved Example
Question: The product of two numbers is 5120. If their GCD is 16, what is their LCM?
Solution:
Given: GCD = 16
product of numbers = 5120
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 5120/16
As a result, the LCM is 320.
LCM(64, 80) = 320 is the most likely combination for the given situation.
Frequently Asked Questions on LCM of 64 and 80
What is the LCM of 64 and 80?
List the methods used to find the LCM of 64 and 80.
If the LCM of 80 and 64 is 320, Find its GCF.
Since the LCM of 80 and 64 = 320
⇒ 320 × GCF(80, 64) = 5120
Therefore, the greatest common factor (GCF) = 5120/320 = 16.
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