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 |
|---|---|
| 121 and 138 | 16698 |
| 65 and 115 | 1495 |
| 186 and 62 | 186 |
| 135 and 130 | 3510 |
| 117 and 49 | 5733 |