Least Common Multiple (LCM) of 101 and 181
The least common multiple (LCM) of 101 and 181 is 18281.
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 181?
First, calculate the GCD of 101 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 181 = 0 remainder 101 |
| 2 | 181 ÷ 101 = 1 remainder 80 |
| 3 | 101 ÷ 80 = 1 remainder 21 |
| 4 | 80 ÷ 21 = 3 remainder 17 |
| 5 | 21 ÷ 17 = 1 remainder 4 |
| 6 | 17 ÷ 4 = 4 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 178 | 2136 |
| 154 and 193 | 29722 |
| 175 and 157 | 27475 |
| 144 and 154 | 11088 |
| 192 and 112 | 1344 |