Least Common Multiple (LCM) of 161 and 170
The least common multiple (LCM) of 161 and 170 is 27370.
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 161 and 170?
First, calculate the GCD of 161 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 170 = 0 remainder 161 |
| 2 | 170 ÷ 161 = 1 remainder 9 |
| 3 | 161 ÷ 9 = 17 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 105 | 735 |
| 23 and 57 | 1311 |
| 59 and 64 | 3776 |
| 193 and 160 | 30880 |
| 26 and 169 | 338 |