Least Common Multiple (LCM) of 158 and 71
The least common multiple (LCM) of 158 and 71 is 11218.
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 71?
First, calculate the GCD of 158 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 71 = 2 remainder 16 |
| 2 | 71 ÷ 16 = 4 remainder 7 |
| 3 | 16 ÷ 7 = 2 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 144 | 24336 |
| 146 and 157 | 22922 |
| 87 and 38 | 3306 |
| 177 and 57 | 3363 |
| 172 and 89 | 15308 |