Least Common Multiple (LCM) of 158 and 82
The least common multiple (LCM) of 158 and 82 is 6478.
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 82?
First, calculate the GCD of 158 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 82 = 1 remainder 76 |
| 2 | 82 ÷ 76 = 1 remainder 6 |
| 3 | 76 ÷ 6 = 12 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 141 | 19176 |
| 127 and 79 | 10033 |
| 97 and 189 | 18333 |
| 30 and 110 | 330 |
| 84 and 160 | 3360 |