Least Common Multiple (LCM) of 131 and 167
The least common multiple (LCM) of 131 and 167 is 21877.
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 167?
First, calculate the GCD of 131 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 167 = 0 remainder 131 |
| 2 | 167 ÷ 131 = 1 remainder 36 |
| 3 | 131 ÷ 36 = 3 remainder 23 |
| 4 | 36 ÷ 23 = 1 remainder 13 |
| 5 | 23 ÷ 13 = 1 remainder 10 |
| 6 | 13 ÷ 10 = 1 remainder 3 |
| 7 | 10 ÷ 3 = 3 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 186 | 6882 |
| 75 and 119 | 8925 |
| 193 and 182 | 35126 |
| 100 and 165 | 3300 |
| 116 and 40 | 1160 |