LCM for 252 and 840
What's the Least Common Multiple (LCM) of 252 and 840?
(Two thousand, five hundred twenty)
Finding LCM for 252 and 840 using GCF's of these numbers
The first method to find LCM for numbers 252 and 840 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 252 and 840 is 84, so
LCM = (252 × 840) ÷ 84
LCM = 211680 ÷ 84
LCM = 2520
Finding LCM for 252 and 840 by Listing Multiples
The second method to find LCM for numbers 252 and 840 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 252: 252, 504, 756, 1008, 1260, 1512, 1764, 2016, 2268, 2520, 2772, 3024
Multiples of 840: 840, 1680, 2520, 3360, 4200
So the LCM for 252 and 840 is 2520
Finding LCM for 252 and 840 by Prime Factorization
Another method to find LCM for numbers 252 and 840 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 252: 2, 2, 3, 3, 7 (exponent form: 22, 32, 71)
All Prime Factors of 840: 2, 2, 2, 3, 5, 7 (exponent form: 23, 31, 51, 71)
23 × 32 × 71 × 51 = 2520
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/252--840">What is the LCM of 252 and 840? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 237 | 840 | 66360 |
| 238 | 840 | 14280 |
| 239 | 840 | 200760 |
| 240 | 840 | 1680 |
| 241 | 840 | 202440 |
| 242 | 840 | 101640 |
| 243 | 840 | 68040 |
| 244 | 840 | 51240 |
| 245 | 840 | 5880 |
| 246 | 840 | 34440 |
| 247 | 840 | 207480 |
| 248 | 840 | 26040 |
| 249 | 840 | 69720 |
| 250 | 840 | 21000 |
| 251 | 840 | 210840 |
| 252 | 840 | 2520 |
| 253 | 840 | 212520 |
| 254 | 840 | 106680 |
| 255 | 840 | 14280 |
| 256 | 840 | 26880 |
| 257 | 840 | 215880 |
| 258 | 840 | 36120 |
| 259 | 840 | 31080 |
| 260 | 840 | 10920 |
| 261 | 840 | 73080 |
| 262 | 840 | 110040 |
| 263 | 840 | 220920 |
| 264 | 840 | 9240 |
| 265 | 840 | 44520 |
| 266 | 840 | 15960 |
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