Least Common Multiple (LCM) of 108 and 162
The least common multiple (LCM) of 108 and 162 is 324.
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 108 and 162?
First, calculate the GCD of 108 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 162 = 0 remainder 108 |
| 2 | 162 ÷ 108 = 1 remainder 54 |
| 3 | 108 ÷ 54 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 151 | 21442 |
| 179 and 45 | 8055 |
| 160 and 170 | 2720 |
| 40 and 131 | 5240 |
| 112 and 112 | 112 |