Least Common Multiple (LCM) of 122 and 161
The least common multiple (LCM) of 122 and 161 is 19642.
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 122 and 161?
First, calculate the GCD of 122 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 161 = 0 remainder 122 |
| 2 | 161 ÷ 122 = 1 remainder 39 |
| 3 | 122 ÷ 39 = 3 remainder 5 |
| 4 | 39 ÷ 5 = 7 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 65 | 10920 |
| 148 and 172 | 6364 |
| 199 and 157 | 31243 |
| 140 and 181 | 25340 |
| 35 and 167 | 5845 |