Least Common Multiple (LCM) of 161 and 116
The least common multiple (LCM) of 161 and 116 is 18676.
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 116?
First, calculate the GCD of 161 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 116 = 1 remainder 45 |
| 2 | 116 ÷ 45 = 2 remainder 26 |
| 3 | 45 ÷ 26 = 1 remainder 19 |
| 4 | 26 ÷ 19 = 1 remainder 7 |
| 5 | 19 ÷ 7 = 2 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 75 | 4800 |
| 23 and 165 | 3795 |
| 196 and 63 | 1764 |
| 168 and 17 | 2856 |
| 10 and 101 | 1010 |