Least Common Multiple (LCM) of 158 and 162
The least common multiple (LCM) of 158 and 162 is 12798.
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 158 and 162?
First, calculate the GCD of 158 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 162 = 0 remainder 158 |
| 2 | 162 ÷ 158 = 1 remainder 4 |
| 3 | 158 ÷ 4 = 39 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 198 | 16434 |
| 180 and 171 | 3420 |
| 85 and 84 | 7140 |
| 118 and 87 | 10266 |
| 175 and 167 | 29225 |