Least Common Multiple (LCM) of 131 and 22
The least common multiple (LCM) of 131 and 22 is 2882.
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 22?
First, calculate the GCD of 131 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 22 = 5 remainder 21 |
| 2 | 22 ÷ 21 = 1 remainder 1 |
| 3 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 35 | 770 |
| 158 and 30 | 2370 |
| 200 and 64 | 1600 |
| 147 and 164 | 24108 |
| 193 and 29 | 5597 |