Least Common Multiple (LCM) of 164 and 131
The least common multiple (LCM) of 164 and 131 is 21484.
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 164 and 131?
First, calculate the GCD of 164 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 131 = 1 remainder 33 |
| 2 | 131 ÷ 33 = 3 remainder 32 |
| 3 | 33 ÷ 32 = 1 remainder 1 |
| 4 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 21 | 672 |
| 170 and 143 | 24310 |
| 132 and 17 | 2244 |
| 189 and 112 | 3024 |
| 105 and 191 | 20055 |