LCM for 6 and 105
What's the Least Common Multiple (LCM) of 6 and 105?
Answer
(Two hundred ten)
Finding LCM for 6 and 105 using GCF of these numbers
The first method to find LCM for numbers 6 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 6 and 105 is 3, so
LCM = (6 × 105) ÷ 3
LCM = 630 ÷ 3
LCM = 210
Finding LCM for 6 and 105 by Listing Multiples
The second method to find LCM for numbers 6 and 105 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222
Multiples of 105: 105, 210, 315, 420
So the LCM for 6 and 105 is 210
Finding LCM for 6 and 105 by Prime Factorization
Another method to find LCM for numbers 6 and 105 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 6: 2, 3 (exponent form: 21, 31)
All Prime Factors of 105: 3, 5, 7 (exponent form: 31, 51, 71)
21 × 31 × 51 × 71 = 210
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/6--105">What is the LCM of 6 and 105? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 105 | 105 |
| 2 | 105 | 210 |
| 3 | 105 | 105 |
| 4 | 105 | 420 |
| 5 | 105 | 105 |
| 6 | 105 | 210 |
| 7 | 105 | 105 |
| 8 | 105 | 840 |
| 9 | 105 | 315 |
| 10 | 105 | 210 |
| 11 | 105 | 1155 |
| 12 | 105 | 420 |
| 13 | 105 | 1365 |
| 14 | 105 | 210 |
| 15 | 105 | 105 |
| 16 | 105 | 1680 |
| 17 | 105 | 1785 |
| 18 | 105 | 630 |
| 19 | 105 | 1995 |
| 20 | 105 | 420 |
| 21 | 105 | 105 |
| 22 | 105 | 2310 |
| 23 | 105 | 2415 |
| 24 | 105 | 840 |
| 25 | 105 | 525 |
| 26 | 105 | 2730 |
| 27 | 105 | 945 |
| 28 | 105 | 420 |
| 29 | 105 | 3045 |
| 30 | 105 | 210 |
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