Least Common Multiple (LCM) of 170 and 171
The least common multiple (LCM) of 170 and 171 is 29070.
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 171?
First, calculate the GCD of 170 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 171 = 0 remainder 170 |
| 2 | 171 ÷ 170 = 1 remainder 1 |
| 3 | 170 ÷ 1 = 170 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 113 | 16272 |
| 29 and 89 | 2581 |
| 64 and 134 | 4288 |
| 106 and 57 | 6042 |
| 14 and 156 | 1092 |