Least Common Multiple (LCM) of 55 and 162
The least common multiple (LCM) of 55 and 162 is 8910.
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 55 and 162?
First, calculate the GCD of 55 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 162 = 0 remainder 55 |
| 2 | 162 ÷ 55 = 2 remainder 52 |
| 3 | 55 ÷ 52 = 1 remainder 3 |
| 4 | 52 ÷ 3 = 17 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 132 | 132 |
| 22 and 99 | 198 |
| 29 and 29 | 29 |
| 19 and 102 | 1938 |
| 139 and 43 | 5977 |