Least Common Multiple (LCM) of 169 and 161
The least common multiple (LCM) of 169 and 161 is 27209.
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 161?
First, calculate the GCD of 169 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 161 = 1 remainder 8 |
| 2 | 161 ÷ 8 = 20 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 108 | 8532 |
| 161 and 141 | 22701 |
| 113 and 25 | 2825 |
| 165 and 13 | 2145 |
| 188 and 134 | 12596 |