Least Common Multiple (LCM) of 183 and 101
The least common multiple (LCM) of 183 and 101 is 18483.
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 101?
First, calculate the GCD of 183 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 101 = 1 remainder 82 |
| 2 | 101 ÷ 82 = 1 remainder 19 |
| 3 | 82 ÷ 19 = 4 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 54 | 270 |
| 83 and 111 | 9213 |
| 29 and 118 | 3422 |
| 18 and 138 | 414 |
| 159 and 76 | 12084 |