Least Common Multiple (LCM) of 131 and 170
The least common multiple (LCM) of 131 and 170 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 131 and 170?
First, calculate the GCD of 131 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 170 = 0 remainder 131 |
| 2 | 170 ÷ 131 = 1 remainder 39 |
| 3 | 131 ÷ 39 = 3 remainder 14 |
| 4 | 39 ÷ 14 = 2 remainder 11 |
| 5 | 14 ÷ 11 = 1 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 64 | 704 |
| 39 and 172 | 6708 |
| 58 and 29 | 58 |
| 91 and 14 | 182 |
| 160 and 26 | 2080 |