Least Common Multiple (LCM) of 84 and 162
The least common multiple (LCM) of 84 and 162 is 2268.
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 84 and 162?
First, calculate the GCD of 84 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 162 = 0 remainder 84 |
| 2 | 162 ÷ 84 = 1 remainder 78 |
| 3 | 84 ÷ 78 = 1 remainder 6 |
| 4 | 78 ÷ 6 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 163 | 28525 |
| 159 and 107 | 17013 |
| 35 and 196 | 980 |
| 35 and 100 | 700 |
| 122 and 64 | 3904 |