Least Common Multiple (LCM) of 41 and 142
The least common multiple (LCM) of 41 and 142 is 5822.
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 41 and 142?
First, calculate the GCD of 41 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 142 = 0 remainder 41 |
| 2 | 142 ÷ 41 = 3 remainder 19 |
| 3 | 41 ÷ 19 = 2 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 148 | 740 |
| 101 and 166 | 16766 |
| 18 and 163 | 2934 |
| 76 and 142 | 5396 |
| 100 and 199 | 19900 |