Least Common Multiple (LCM) of 183 and 161
The least common multiple (LCM) of 183 and 161 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 183 and 161?
First, calculate the GCD of 183 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 161 = 1 remainder 22 |
| 2 | 161 ÷ 22 = 7 remainder 7 |
| 3 | 22 ÷ 7 = 3 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 41 | 1435 |
| 110 and 28 | 1540 |
| 45 and 120 | 360 |
| 15 and 84 | 420 |
| 194 and 80 | 7760 |