Least Common Multiple (LCM) of 122 and 162
The least common multiple (LCM) of 122 and 162 is 9882.
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 122 and 162?
First, calculate the GCD of 122 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 162 = 0 remainder 122 |
| 2 | 162 ÷ 122 = 1 remainder 40 |
| 3 | 122 ÷ 40 = 3 remainder 2 |
| 4 | 40 ÷ 2 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 75 | 4950 |
| 132 and 61 | 8052 |
| 129 and 169 | 21801 |
| 148 and 131 | 19388 |
| 67 and 90 | 6030 |