LCM for 75 and 297
What's the Least Common Multiple (LCM) of 75 and 297?
Answer
(Seven thousand four hundred twenty-five)
Finding LCM for 75 and 297 using GCF of these numbers
The first method to find LCM for numbers 75 and 297 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 75 and 297 is 3, so
LCM = (75 × 297) ÷ 3
LCM = 22,275 ÷ 3
LCM = 7,425
Finding LCM for 75 and 297 by Listing Multiples
The second method to find LCM for numbers 75 and 297 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1,050, 1,125, 1,200, 1,275, 1,350, 1,425, 1,500, 1,575, 1,650, 1,725, 1,800, 1,875, 1,950, 2,025, 2,100, 2,175, 2,250, 2,325, 2,400, 2,475, 2,550, 2,625, 2,700, 2,775, 2,850, 2,925, 3,000, 3,075, 3,150, 3,225, 3,300, 3,375, 3,450, 3,525, 3,600, 3,675, 3,750, 3,825, 3,900, 3,975, 4,050, 4,125, 4,200, 4,275, 4,350, 4,425, 4,500, 4,575, 4,650, 4,725, 4,800, 4,875, 4,950, 5,025, 5,100, 5,175, 5,250, 5,325, 5,400, 5,475, 5,550, 5,625, 5,700, 5,775, 5,850, 5,925, 6,000, 6,075, 6,150, 6,225, 6,300, 6,375, 6,450, 6,525, 6,600, 6,675, 6,750, 6,825, 6,900, 6,975, 7,050, 7,125, 7,200, 7,275, 7,350, 7,425, 7,500, 7,575
Multiples of 297: 297, 594, 891, 1,188, 1,485, 1,782, 2,079, 2,376, 2,673, 2,970, 3,267, 3,564, 3,861, 4,158, 4,455, 4,752, 5,049, 5,346, 5,643, 5,940, 6,237, 6,534, 6,831, 7,128, 7,425, 7,722, 8,019
So the LCM for 75 and 297 is 7,425
Finding LCM for 75 and 297 by Prime Factorization
Another method to find LCM for numbers 75 and 297 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)
All Prime Factors of 297: 3, 3, 3, 11 (exponent form: 33, 111)
33 × 52 × 111 = 7,425
Related Calculations
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/75--297">What is the LCM of 75 and 297? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 75 | 282 | 7,050 |
| 75 | 283 | 21,225 |
| 75 | 284 | 21,300 |
| 75 | 285 | 1,425 |
| 75 | 286 | 21,450 |
| 75 | 287 | 21,525 |
| 75 | 288 | 7,200 |
| 75 | 289 | 21,675 |
| 75 | 290 | 4,350 |
| 75 | 291 | 7,275 |
| 75 | 292 | 21,900 |
| 75 | 293 | 21,975 |
| 75 | 294 | 7,350 |
| 75 | 295 | 4,425 |
| 75 | 296 | 22,200 |
| 75 | 297 | 7,425 |
| 75 | 298 | 22,350 |
| 75 | 299 | 22,425 |
| 75 | 300 | 300 |
| 75 | 301 | 22,575 |
| 75 | 302 | 22,650 |
| 75 | 303 | 7,575 |
| 75 | 304 | 22,800 |
| 75 | 305 | 4,575 |
| 75 | 306 | 7,650 |
| 75 | 307 | 23,025 |
| 75 | 308 | 23,100 |
| 75 | 309 | 7,725 |
| 75 | 310 | 4,650 |
| 75 | 311 | 23,325 |
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