Least Common Multiple (LCM) of 131 and 164
The least common multiple (LCM) of 131 and 164 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 131 and 164?
First, calculate the GCD of 131 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 164 = 0 remainder 131 |
| 2 | 164 ÷ 131 = 1 remainder 33 |
| 3 | 131 ÷ 33 = 3 remainder 32 |
| 4 | 33 ÷ 32 = 1 remainder 1 |
| 5 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 55 | 165 |
| 120 and 188 | 5640 |
| 136 and 76 | 2584 |
| 38 and 61 | 2318 |
| 55 and 61 | 3355 |