Least Common Multiple (LCM) of 162 and 34
The least common multiple (LCM) of 162 and 34 is 2754.
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 34?
First, calculate the GCD of 162 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 34 = 4 remainder 26 |
| 2 | 34 ÷ 26 = 1 remainder 8 |
| 3 | 26 ÷ 8 = 3 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 56 | 2296 |
| 78 and 118 | 4602 |
| 19 and 43 | 817 |
| 53 and 144 | 7632 |
| 65 and 190 | 2470 |