LCM for 100 and 340
What's the Least Common Multiple (LCM) of 100 and 340?
Answer
(One thousand seven hundred)
Finding LCM for 100 and 340 using GCF of these numbers
The first method to find LCM for numbers 100 and 340 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 100 and 340 is 20, so
LCM = (100 × 340) ÷ 20
LCM = 34,000 ÷ 20
LCM = 1,700
Finding LCM for 100 and 340 by Listing Multiples
The second method to find LCM for numbers 100 and 340 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1,000, 1,100, 1,200, 1,300, 1,400, 1,500, 1,600, 1,700, 1,800, 1,900
Multiples of 340: 340, 680, 1,020, 1,360, 1,700, 2,040, 2,380
So the LCM for 100 and 340 is 1,700
Finding LCM for 100 and 340 by Prime Factorization
Another method to find LCM for numbers 100 and 340 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
All Prime Factors of 340: 2, 2, 5, 17 (exponent form: 22, 51, 171)
22 × 52 × 171 = 1,700
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers

LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 100 | 220 | 1,100 |
| 100 | 225 | 900 |
| 100 | 230 | 2,300 |
| 100 | 235 | 4,700 |
| 100 | 240 | 1,200 |
| 100 | 250 | 500 |
| 100 | 255 | 5,100 |
| 100 | 260 | 1,300 |
| 100 | 270 | 2,700 |
| 100 | 275 | 1,100 |
| 100 | 285 | 5,700 |
| 100 | 290 | 2,900 |
| 100 | 320 | 1,600 |
| 100 | 325 | 1,300 |
| 100 | 330 | 3,300 |
| 100 | 340 | 1,700 |
| 100 | 360 | 1,800 |
| 100 | 365 | 7,300 |
| 100 | 375 | 1,500 |
| 100 | 385 | 7,700 |
| 100 | 400 | 400 |
| 100 | 405 | 8,100 |
| 100 | 415 | 8,300 |
| 100 | 445 | 8,900 |
| 100 | 450 | 900 |
| 100 | 465 | 9,300 |
| 100 | 470 | 4,700 |
| 100 | 485 | 9,700 |
| 100 | 490 | 4,900 |
| 100 | 500 | 500 |
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