Least Common Multiple (LCM) of 141 and 183
The least common multiple (LCM) of 141 and 183 is 8601.
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 183?
First, calculate the GCD of 141 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 183 = 0 remainder 141 |
| 2 | 183 ÷ 141 = 1 remainder 42 |
| 3 | 141 ÷ 42 = 3 remainder 15 |
| 4 | 42 ÷ 15 = 2 remainder 12 |
| 5 | 15 ÷ 12 = 1 remainder 3 |
| 6 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 12 | 1572 |
| 108 and 189 | 756 |
| 21 and 105 | 105 |
| 99 and 97 | 9603 |
| 120 and 179 | 21480 |