Least Common Multiple (LCM) of 162 and 115
The least common multiple (LCM) of 162 and 115 is 18630.
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 162 and 115?
First, calculate the GCD of 162 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 115 = 1 remainder 47 |
| 2 | 115 ÷ 47 = 2 remainder 21 |
| 3 | 47 ÷ 21 = 2 remainder 5 |
| 4 | 21 ÷ 5 = 4 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 84 | 11508 |
| 115 and 182 | 20930 |
| 173 and 83 | 14359 |
| 159 and 187 | 29733 |
| 28 and 139 | 3892 |