LCM for 180 and 252
What's the Least Common Multiple (LCM) of 180 and 252?
Answer
(One thousand two hundred sixty)
Finding LCM for 180 and 252 using GCF of these numbers
The first method to find LCM for numbers 180 and 252 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 180 and 252 is 36, so
LCM = (180 × 252) ÷ 36
LCM = 45,360 ÷ 36
LCM = 1,260
Finding LCM for 180 and 252 by Listing Multiples
The second method to find LCM for numbers 180 and 252 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 180: 180, 360, 540, 720, 900, 1,080, 1,260, 1,440, 1,620
Multiples of 252: 252, 504, 756, 1,008, 1,260, 1,512, 1,764
So the LCM for 180 and 252 is 1,260
Finding LCM for 180 and 252 by Prime Factorization
Another method to find LCM for numbers 180 and 252 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)
All Prime Factors of 252: 2, 2, 3, 3, 7 (exponent form: 22, 32, 71)
22 × 32 × 51 × 71 = 1,260
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers

LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 180 | 237 | 14,220 |
| 180 | 238 | 21,420 |
| 180 | 239 | 43,020 |
| 180 | 240 | 720 |
| 180 | 241 | 43,380 |
| 180 | 242 | 21,780 |
| 180 | 243 | 4,860 |
| 180 | 244 | 10,980 |
| 180 | 245 | 8,820 |
| 180 | 246 | 7,380 |
| 180 | 247 | 44,460 |
| 180 | 248 | 11,160 |
| 180 | 249 | 14,940 |
| 180 | 250 | 4,500 |
| 180 | 251 | 45,180 |
| 180 | 252 | 1,260 |
| 180 | 253 | 45,540 |
| 180 | 254 | 22,860 |
| 180 | 255 | 3,060 |
| 180 | 256 | 11,520 |
| 180 | 257 | 46,260 |
| 180 | 258 | 7,740 |
| 180 | 259 | 46,620 |
| 180 | 260 | 2,340 |
| 180 | 261 | 5,220 |
| 180 | 262 | 23,580 |
| 180 | 263 | 47,340 |
| 180 | 264 | 3,960 |
| 180 | 265 | 9,540 |
| 180 | 266 | 23,940 |
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