LCM for 204 and 340
What's the Least Common Multiple (LCM) of 204 and 340?
Answer
(One thousand, twenty)
Finding LCM for 204 and 340 using GCF of these numbers
The first method to find LCM for numbers 204 and 340 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 204 and 340 is 68, so
LCM = (204 × 340) ÷ 68
LCM = 69360 ÷ 68
LCM = 1020
Finding LCM for 204 and 340 by Listing Multiples
The second method to find LCM for numbers 204 and 340 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 204: 204, 408, 612, 816, 1020, 1224, 1428
Multiples of 340: 340, 680, 1020, 1360, 1700
So the LCM for 204 and 340 is 1020
Finding LCM for 204 and 340 by Prime Factorization
Another method to find LCM for numbers 204 and 340 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 204: 2, 2, 3, 17 (exponent form: 22, 31, 171)
All Prime Factors of 340: 2, 2, 5, 17 (exponent form: 22, 51, 171)
22 × 31 × 171 × 51 = 1020
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/204--340">What is the LCM of 204 and 340? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 189 | 340 | 64260 |
| 190 | 340 | 6460 |
| 191 | 340 | 64940 |
| 192 | 340 | 16320 |
| 193 | 340 | 65620 |
| 194 | 340 | 32980 |
| 195 | 340 | 13260 |
| 196 | 340 | 16660 |
| 197 | 340 | 66980 |
| 198 | 340 | 33660 |
| 199 | 340 | 67660 |
| 200 | 340 | 3400 |
| 201 | 340 | 68340 |
| 202 | 340 | 34340 |
| 203 | 340 | 69020 |
| 204 | 340 | 1020 |
| 205 | 340 | 13940 |
| 206 | 340 | 35020 |
| 207 | 340 | 70380 |
| 208 | 340 | 17680 |
| 209 | 340 | 71060 |
| 210 | 340 | 7140 |
| 211 | 340 | 71740 |
| 212 | 340 | 18020 |
| 213 | 340 | 72420 |
| 214 | 340 | 36380 |
| 215 | 340 | 14620 |
| 216 | 340 | 18360 |
| 217 | 340 | 73780 |
| 218 | 340 | 37060 |
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