LCM for 144 and 48
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 144 and 48?
Answer
LCM of 144 and 48 is
144
First common multiples: 144, 288, 432, …
As a common denominator: multiply the top and bottom of y/48 by 3.
48 divides 144 (144 ÷ 48 = 3), so the LCM is the larger number itself.
144 = 24 × 32
48 = 24 × 3
| Prime | 144 | 48 | Highest power |
|---|---|---|---|
| 2 | 24 | 24 | 24 |
| 3 | 32 | 3 | 32 |
LCM = 24 × 32 = 144
More with these numbers
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 144 | 33 | 1,584 |
| 144 | 34 | 2,448 |
| 144 | 35 | 5,040 |
| 144 | 36 | 144 |
| 144 | 37 | 5,328 |
| 144 | 38 | 2,736 |
| 144 | 39 | 1,872 |
| 144 | 40 | 720 |
| 144 | 41 | 5,904 |
| 144 | 42 | 1,008 |
| 144 | 43 | 6,192 |
| 144 | 44 | 1,584 |
| 144 | 45 | 720 |
| 144 | 46 | 3,312 |
| 144 | 47 | 6,768 |
| 144 | 48 | 144 |
| 144 | 49 | 7,056 |
| 144 | 50 | 3,600 |
| 144 | 51 | 2,448 |
| 144 | 52 | 1,872 |
| 144 | 53 | 7,632 |
| 144 | 54 | 432 |
| 144 | 55 | 7,920 |
| 144 | 56 | 1,008 |
| 144 | 57 | 2,736 |
| 144 | 58 | 4,176 |
| 144 | 59 | 8,496 |
| 144 | 60 | 720 |
| 144 | 61 | 8,784 |
| 144 | 62 | 4,464 |
FAQ
What's the Least Common Multiple (LCM) of 144 and 48?
LCM of 144 and 48 is 144
How to find the LCM of 144 and 48 using prime factorization?
To find the LCM of 144 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 144.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 144 and 48: LCM = 144, GCF = 48.
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