Least Common Multiple (LCM) of 104 and 161
The least common multiple (LCM) of 104 and 161 is 16744.
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 104 and 161?
First, calculate the GCD of 104 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 161 = 0 remainder 104 |
| 2 | 161 ÷ 104 = 1 remainder 57 |
| 3 | 104 ÷ 57 = 1 remainder 47 |
| 4 | 57 ÷ 47 = 1 remainder 10 |
| 5 | 47 ÷ 10 = 4 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 129 | 21027 |
| 14 and 181 | 2534 |
| 85 and 34 | 170 |
| 100 and 40 | 200 |
| 116 and 17 | 1972 |