Least Common Multiple (LCM) of 101 and 183
The least common multiple (LCM) of 101 and 183 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 101 and 183?
First, calculate the GCD of 101 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 183 = 0 remainder 101 |
| 2 | 183 ÷ 101 = 1 remainder 82 |
| 3 | 101 ÷ 82 = 1 remainder 19 |
| 4 | 82 ÷ 19 = 4 remainder 6 |
| 5 | 19 ÷ 6 = 3 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 132 | 660 |
| 107 and 154 | 16478 |
| 131 and 23 | 3013 |
| 182 and 107 | 19474 |
| 136 and 35 | 4760 |