Least Common Multiple (LCM) of 41 and 143
The least common multiple (LCM) of 41 and 143 is 5863.
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 143?
First, calculate the GCD of 41 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 143 = 0 remainder 41 |
| 2 | 143 ÷ 41 = 3 remainder 20 |
| 3 | 41 ÷ 20 = 2 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 42 | 2604 |
| 135 and 119 | 16065 |
| 192 and 131 | 25152 |
| 138 and 99 | 4554 |
| 40 and 72 | 360 |