Least Common Multiple (LCM) of 121 and 161
The least common multiple (LCM) of 121 and 161 is 19481.
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 121 and 161?
First, calculate the GCD of 121 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 161 = 0 remainder 121 |
| 2 | 161 ÷ 121 = 1 remainder 40 |
| 3 | 121 ÷ 40 = 3 remainder 1 |
| 4 | 40 ÷ 1 = 40 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 90 | 9810 |
| 24 and 15 | 120 |
| 157 and 65 | 10205 |
| 97 and 125 | 12125 |
| 98 and 69 | 6762 |