Least Common Multiple (LCM) of 163 and 183
The least common multiple (LCM) of 163 and 183 is 29829.
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 163 and 183?
First, calculate the GCD of 163 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 183 = 0 remainder 163 |
| 2 | 183 ÷ 163 = 1 remainder 20 |
| 3 | 163 ÷ 20 = 8 remainder 3 |
| 4 | 20 ÷ 3 = 6 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 65 | 8970 |
| 178 and 121 | 21538 |
| 111 and 41 | 4551 |
| 187 and 49 | 9163 |
| 13 and 88 | 1144 |