Least Common Multiple (LCM) of 158 and 181
The least common multiple (LCM) of 158 and 181 is 28598.
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 181?
First, calculate the GCD of 158 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 181 = 0 remainder 158 |
| 2 | 181 ÷ 158 = 1 remainder 23 |
| 3 | 158 ÷ 23 = 6 remainder 20 |
| 4 | 23 ÷ 20 = 1 remainder 3 |
| 5 | 20 ÷ 3 = 6 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 194 | 10476 |
| 14 and 27 | 378 |
| 79 and 142 | 11218 |
| 122 and 142 | 8662 |
| 21 and 12 | 84 |