Least Common Multiple (LCM) of 41 and 148
The least common multiple (LCM) of 41 and 148 is 6068.
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 148?
First, calculate the GCD of 41 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 148 = 0 remainder 41 |
| 2 | 148 ÷ 41 = 3 remainder 25 |
| 3 | 41 ÷ 25 = 1 remainder 16 |
| 4 | 25 ÷ 16 = 1 remainder 9 |
| 5 | 16 ÷ 9 = 1 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 28 | 1316 |
| 144 and 175 | 25200 |
| 189 and 152 | 28728 |
| 35 and 84 | 420 |
| 57 and 129 | 2451 |