Least Common Multiple (LCM) of 22 and 131
The least common multiple (LCM) of 22 and 131 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 22 and 131?
First, calculate the GCD of 22 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 131 = 0 remainder 22 |
| 2 | 131 ÷ 22 = 5 remainder 21 |
| 3 | 22 ÷ 21 = 1 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 147 | 1617 |
| 125 and 113 | 14125 |
| 12 and 107 | 1284 |
| 47 and 125 | 5875 |
| 196 and 24 | 1176 |