LCM for 135 and 441
What's the Least Common Multiple (LCM) of 135 and 441?
Answer
(Six thousand six hundred fifteen)
Finding LCM for 135 and 441 using GCF of these numbers
The first method to find LCM for numbers 135 and 441 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 135 and 441 is 9, so
LCM = (135 × 441) ÷ 9
LCM = 59,535 ÷ 9
LCM = 6,615
Finding LCM for 135 and 441 by Listing Multiples
The second method to find LCM for numbers 135 and 441 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 135: 135, 270, 405, 540, 675, 810, 945, 1,080, 1,215, 1,350, 1,485, 1,620, 1,755, 1,890, 2,025, 2,160, 2,295, 2,430, 2,565, 2,700, 2,835, 2,970, 3,105, 3,240, 3,375, 3,510, 3,645, 3,780, 3,915, 4,050, 4,185, 4,320, 4,455, 4,590, 4,725, 4,860, 4,995, 5,130, 5,265, 5,400, 5,535, 5,670, 5,805, 5,940, 6,075, 6,210, 6,345, 6,480, 6,615, 6,750, 6,885
Multiples of 441: 441, 882, 1,323, 1,764, 2,205, 2,646, 3,087, 3,528, 3,969, 4,410, 4,851, 5,292, 5,733, 6,174, 6,615, 7,056, 7,497
So the LCM for 135 and 441 is 6,615
Finding LCM for 135 and 441 by Prime Factorization
Another method to find LCM for numbers 135 and 441 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)
All Prime Factors of 441: 3, 3, 7, 7 (exponent form: 32, 72)
33 × 51 × 72 = 6,615
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 135 | 426 | 19,170 |
| 135 | 427 | 57,645 |
| 135 | 428 | 57,780 |
| 135 | 429 | 19,305 |
| 135 | 430 | 11,610 |
| 135 | 431 | 58,185 |
| 135 | 432 | 2,160 |
| 135 | 433 | 58,455 |
| 135 | 434 | 58,590 |
| 135 | 435 | 3,915 |
| 135 | 436 | 58,860 |
| 135 | 437 | 58,995 |
| 135 | 438 | 19,710 |
| 135 | 439 | 59,265 |
| 135 | 440 | 11,880 |
| 135 | 441 | 6,615 |
| 135 | 442 | 59,670 |
| 135 | 443 | 59,805 |
| 135 | 444 | 19,980 |
| 135 | 445 | 12,015 |
| 135 | 446 | 60,210 |
| 135 | 447 | 20,115 |
| 135 | 448 | 60,480 |
| 135 | 449 | 60,615 |
| 135 | 450 | 1,350 |
| 135 | 451 | 60,885 |
| 135 | 452 | 61,020 |
| 135 | 453 | 20,385 |
| 135 | 454 | 61,290 |
| 135 | 455 | 12,285 |
FAQ
What's the Least Common Multiple (LCM) of 135 and 441?
How to find the LCM of 135 and 441 using prime factorization?
What is the difference between LCM and GCF?
See Also
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- What is the LCM of 125 and 1,000?
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