Least Common Multiple (LCM) of 131 and 162
The least common multiple (LCM) of 131 and 162 is 21222.
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 162?
First, calculate the GCD of 131 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 162 = 0 remainder 131 |
| 2 | 162 ÷ 131 = 1 remainder 31 |
| 3 | 131 ÷ 31 = 4 remainder 7 |
| 4 | 31 ÷ 7 = 4 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 123 | 23862 |
| 31 and 51 | 1581 |
| 54 and 153 | 918 |
| 115 and 17 | 1955 |
| 128 and 112 | 896 |