Least Common Multiple (LCM) of 162 and 14
The least common multiple (LCM) of 162 and 14 is 1134.
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 14?
First, calculate the GCD of 162 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 14 = 11 remainder 8 |
| 2 | 14 ÷ 8 = 1 remainder 6 |
| 3 | 8 ÷ 6 = 1 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 116 | 22620 |
| 111 and 121 | 13431 |
| 92 and 176 | 4048 |
| 49 and 142 | 6958 |
| 162 and 84 | 2268 |