Least Common Multiple (LCM) of 183 and 141
The least common multiple (LCM) of 183 and 141 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 183 and 141?
First, calculate the GCD of 183 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 141 = 1 remainder 42 |
| 2 | 141 ÷ 42 = 3 remainder 15 |
| 3 | 42 ÷ 15 = 2 remainder 12 |
| 4 | 15 ÷ 12 = 1 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 180 | 540 |
| 71 and 111 | 7881 |
| 98 and 175 | 2450 |
| 60 and 49 | 2940 |
| 144 and 10 | 720 |