Least Common Multiple (LCM) of 131 and 71
The least common multiple (LCM) of 131 and 71 is 9301.
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 71?
First, calculate the GCD of 131 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 71 = 1 remainder 60 |
| 2 | 71 ÷ 60 = 1 remainder 11 |
| 3 | 60 ÷ 11 = 5 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 103 | 1236 |
| 104 and 100 | 2600 |
| 172 and 38 | 3268 |
| 157 and 121 | 18997 |
| 171 and 181 | 30951 |