Least Common Multiple (LCM) of 71 and 158
The least common multiple (LCM) of 71 and 158 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 71 and 158?
First, calculate the GCD of 71 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 158 = 0 remainder 71 |
| 2 | 158 ÷ 71 = 2 remainder 16 |
| 3 | 71 ÷ 16 = 4 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 42 | 2478 |
| 119 and 86 | 10234 |
| 122 and 65 | 7930 |
| 103 and 129 | 13287 |
| 181 and 161 | 29141 |