Least Common Multiple (LCM) of 41 and 147
The least common multiple (LCM) of 41 and 147 is 6027.
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 147?
First, calculate the GCD of 41 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 147 = 0 remainder 41 |
| 2 | 147 ÷ 41 = 3 remainder 24 |
| 3 | 41 ÷ 24 = 1 remainder 17 |
| 4 | 24 ÷ 17 = 1 remainder 7 |
| 5 | 17 ÷ 7 = 2 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 180 | 4680 |
| 153 and 196 | 29988 |
| 129 and 15 | 645 |
| 135 and 52 | 7020 |
| 155 and 108 | 16740 |