Least Common Multiple (LCM) of 22 and 162
The least common multiple (LCM) of 22 and 162 is 1782.
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 162?
First, calculate the GCD of 22 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 162 = 0 remainder 22 |
| 2 | 162 ÷ 22 = 7 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 123 | 984 |
| 149 and 15 | 2235 |
| 117 and 31 | 3627 |
| 108 and 30 | 540 |
| 149 and 148 | 22052 |