Least Common Multiple (LCM) of 161 and 183
The least common multiple (LCM) of 161 and 183 is 29463.
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 161 and 183?
First, calculate the GCD of 161 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 183 = 0 remainder 161 |
| 2 | 183 ÷ 161 = 1 remainder 22 |
| 3 | 161 ÷ 22 = 7 remainder 7 |
| 4 | 22 ÷ 7 = 3 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 98 | 490 |
| 111 and 175 | 19425 |
| 38 and 61 | 2318 |
| 68 and 151 | 10268 |
| 198 and 139 | 27522 |