Least Common Multiple (LCM) of 121 and 183
The least common multiple (LCM) of 121 and 183 is 22143.
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 121 and 183?
First, calculate the GCD of 121 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 183 = 0 remainder 121 |
| 2 | 183 ÷ 121 = 1 remainder 62 |
| 3 | 121 ÷ 62 = 1 remainder 59 |
| 4 | 62 ÷ 59 = 1 remainder 3 |
| 5 | 59 ÷ 3 = 19 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 114 | 342 |
| 24 and 171 | 1368 |
| 156 and 15 | 780 |
| 64 and 25 | 1600 |
| 35 and 101 | 3535 |