Least Common Multiple (LCM) of 183 and 117
The least common multiple (LCM) of 183 and 117 is 7137.
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 117?
First, calculate the GCD of 183 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 117 = 1 remainder 66 |
| 2 | 117 ÷ 66 = 1 remainder 51 |
| 3 | 66 ÷ 51 = 1 remainder 15 |
| 4 | 51 ÷ 15 = 3 remainder 6 |
| 5 | 15 ÷ 6 = 2 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 24 | 1512 |
| 132 and 194 | 12804 |
| 176 and 17 | 2992 |
| 103 and 197 | 20291 |
| 80 and 31 | 2480 |