Least Common Multiple (LCM) of 163 and 131
The least common multiple (LCM) of 163 and 131 is 21353.
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 163 and 131?
First, calculate the GCD of 163 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 131 = 1 remainder 32 |
| 2 | 131 ÷ 32 = 4 remainder 3 |
| 3 | 32 ÷ 3 = 10 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 178 | 6942 |
| 44 and 177 | 7788 |
| 131 and 112 | 14672 |
| 164 and 58 | 4756 |
| 108 and 74 | 3996 |