Least Common Multiple (LCM) of 69 and 181
The least common multiple (LCM) of 69 and 181 is 12489.
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 69 and 181?
First, calculate the GCD of 69 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 181 = 0 remainder 69 |
| 2 | 181 ÷ 69 = 2 remainder 43 |
| 3 | 69 ÷ 43 = 1 remainder 26 |
| 4 | 43 ÷ 26 = 1 remainder 17 |
| 5 | 26 ÷ 17 = 1 remainder 9 |
| 6 | 17 ÷ 9 = 1 remainder 8 |
| 7 | 9 ÷ 8 = 1 remainder 1 |
| 8 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 164 | 19844 |
| 116 and 76 | 2204 |
| 183 and 105 | 6405 |
| 178 and 96 | 8544 |
| 24 and 38 | 456 |