Least Common Multiple (LCM) of 131 and 161
The least common multiple (LCM) of 131 and 161 is 21091.
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 131 and 161?
First, calculate the GCD of 131 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 161 = 0 remainder 131 |
| 2 | 161 ÷ 131 = 1 remainder 30 |
| 3 | 131 ÷ 30 = 4 remainder 11 |
| 4 | 30 ÷ 11 = 2 remainder 8 |
| 5 | 11 ÷ 8 = 1 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 147 | 2793 |
| 73 and 27 | 1971 |
| 183 and 122 | 366 |
| 67 and 129 | 8643 |
| 189 and 105 | 945 |