LCM for 24 and 256
What's the Least Common Multiple (LCM) of 24 and 256?
(Seven hundred sixty-eight)
Finding LCM for 24 and 256 using GCF's of these numbers
The first method to find LCM for numbers 24 and 256 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 24 and 256 is 8, so
LCM = (24 × 256) ÷ 8
LCM = 6144 ÷ 8
LCM = 768
Finding LCM for 24 and 256 by Listing Multiples
The second method to find LCM for numbers 24 and 256 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816
Multiples of 256: 256, 512, 768, 1024, 1280
So the LCM for 24 and 256 is 768
Finding LCM for 24 and 256 by Prime Factorization
Another method to find LCM for numbers 24 and 256 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)
All Prime Factors of 256: 2, 2, 2, 2, 2, 2, 2, 2 (exponent form: 28)
28 × 31 = 768
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/24--256">What is the LCM of 24 and 256? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 9 | 256 | 2304 |
| 10 | 256 | 1280 |
| 11 | 256 | 2816 |
| 12 | 256 | 768 |
| 13 | 256 | 3328 |
| 14 | 256 | 1792 |
| 15 | 256 | 3840 |
| 16 | 256 | 256 |
| 17 | 256 | 4352 |
| 18 | 256 | 2304 |
| 19 | 256 | 4864 |
| 20 | 256 | 1280 |
| 21 | 256 | 5376 |
| 22 | 256 | 2816 |
| 23 | 256 | 5888 |
| 24 | 256 | 768 |
| 25 | 256 | 6400 |
| 26 | 256 | 3328 |
| 27 | 256 | 6912 |
| 28 | 256 | 1792 |
| 29 | 256 | 7424 |
| 30 | 256 | 3840 |
| 31 | 256 | 7936 |
| 32 | 256 | 256 |
| 33 | 256 | 8448 |
| 34 | 256 | 4352 |
| 35 | 256 | 8960 |
| 36 | 256 | 2304 |
| 37 | 256 | 9472 |
| 38 | 256 | 4864 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers