Least Common Multiple (LCM) of 41 and 139
The least common multiple (LCM) of 41 and 139 is 5699.
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 139?
First, calculate the GCD of 41 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 139 = 0 remainder 41 |
| 2 | 139 ÷ 41 = 3 remainder 16 |
| 3 | 41 ÷ 16 = 2 remainder 9 |
| 4 | 16 ÷ 9 = 1 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 105 | 7035 |
| 46 and 134 | 3082 |
| 109 and 179 | 19511 |
| 42 and 144 | 1008 |
| 114 and 25 | 2850 |