Least Common Multiple (LCM) of 161 and 185
The least common multiple (LCM) of 161 and 185 is 29785.
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 185?
First, calculate the GCD of 161 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 185 = 0 remainder 161 |
| 2 | 185 ÷ 161 = 1 remainder 24 |
| 3 | 161 ÷ 24 = 6 remainder 17 |
| 4 | 24 ÷ 17 = 1 remainder 7 |
| 5 | 17 ÷ 7 = 2 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 145 | 725 |
| 123 and 185 | 22755 |
| 136 and 63 | 8568 |
| 58 and 127 | 7366 |
| 77 and 116 | 8932 |