Least Common Multiple (LCM) of 169 and 171
The least common multiple (LCM) of 169 and 171 is 28899.
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 169 and 171?
First, calculate the GCD of 169 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 171 = 0 remainder 169 |
| 2 | 171 ÷ 169 = 1 remainder 2 |
| 3 | 169 ÷ 2 = 84 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 177 | 35400 |
| 82 and 53 | 4346 |
| 38 and 110 | 2090 |
| 106 and 69 | 7314 |
| 135 and 120 | 1080 |