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 |
|---|---|
| 70 and 47 | 3290 |
| 148 and 12 | 444 |
| 42 and 122 | 2562 |
| 164 and 10 | 820 |
| 106 and 163 | 17278 |