Least Common Multiple (LCM) of 161 and 104
The least common multiple (LCM) of 161 and 104 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 161 and 104?
First, calculate the GCD of 161 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 104 = 1 remainder 57 |
| 2 | 104 ÷ 57 = 1 remainder 47 |
| 3 | 57 ÷ 47 = 1 remainder 10 |
| 4 | 47 ÷ 10 = 4 remainder 7 |
| 5 | 10 ÷ 7 = 1 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 121 | 121 |
| 144 and 176 | 1584 |
| 60 and 49 | 2940 |
| 74 and 64 | 2368 |
| 73 and 154 | 11242 |