Least Common Multiple (LCM) of 141 and 184
The least common multiple (LCM) of 141 and 184 is 25944.
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 141 and 184?
First, calculate the GCD of 141 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 184 = 0 remainder 141 |
| 2 | 184 ÷ 141 = 1 remainder 43 |
| 3 | 141 ÷ 43 = 3 remainder 12 |
| 4 | 43 ÷ 12 = 3 remainder 7 |
| 5 | 12 ÷ 7 = 1 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 45 | 1530 |
| 17 and 35 | 595 |
| 40 and 97 | 3880 |
| 71 and 167 | 11857 |
| 46 and 97 | 4462 |