Least Common Multiple (LCM) of 170 and 131
The least common multiple (LCM) of 170 and 131 is 22270.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 170 and 131?
First, calculate the GCD of 170 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 131 = 1 remainder 39 |
| 2 | 131 ÷ 39 = 3 remainder 14 |
| 3 | 39 ÷ 14 = 2 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 31 | 3317 |
| 127 and 109 | 13843 |
| 60 and 138 | 1380 |
| 166 and 30 | 2490 |
| 19 and 35 | 665 |