Least Common Multiple (LCM) of 155 and 183
The least common multiple (LCM) of 155 and 183 is 28365.
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 155 and 183?
First, calculate the GCD of 155 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 183 = 0 remainder 155 |
| 2 | 183 ÷ 155 = 1 remainder 28 |
| 3 | 155 ÷ 28 = 5 remainder 15 |
| 4 | 28 ÷ 15 = 1 remainder 13 |
| 5 | 15 ÷ 13 = 1 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 106 | 636 |
| 49 and 34 | 1666 |
| 188 and 46 | 4324 |
| 71 and 83 | 5893 |
| 125 and 165 | 4125 |