Least Common Multiple (LCM) of 131 and 166
The least common multiple (LCM) of 131 and 166 is 21746.
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 166?
First, calculate the GCD of 131 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 166 = 0 remainder 131 |
| 2 | 166 ÷ 131 = 1 remainder 35 |
| 3 | 131 ÷ 35 = 3 remainder 26 |
| 4 | 35 ÷ 26 = 1 remainder 9 |
| 5 | 26 ÷ 9 = 2 remainder 8 |
| 6 | 9 ÷ 8 = 1 remainder 1 |
| 7 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 94 | 5358 |
| 38 and 63 | 2394 |
| 12 and 39 | 156 |
| 45 and 20 | 180 |
| 155 and 184 | 28520 |