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 |
|---|---|
| 145 and 123 | 17835 |
| 53 and 138 | 7314 |
| 72 and 117 | 936 |
| 141 and 75 | 3525 |
| 106 and 156 | 8268 |