Least Common Multiple (LCM) of 41 and 187
The least common multiple (LCM) of 41 and 187 is 7667.
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 187?
First, calculate the GCD of 41 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 187 = 0 remainder 41 |
| 2 | 187 ÷ 41 = 4 remainder 23 |
| 3 | 41 ÷ 23 = 1 remainder 18 |
| 4 | 23 ÷ 18 = 1 remainder 5 |
| 5 | 18 ÷ 5 = 3 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 29 | 1334 |
| 111 and 175 | 19425 |
| 107 and 14 | 1498 |
| 101 and 87 | 8787 |
| 136 and 27 | 3672 |