Least Common Multiple (LCM) of 161 and 176
The least common multiple (LCM) of 161 and 176 is 28336.
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 176?
First, calculate the GCD of 161 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 176 = 0 remainder 161 |
| 2 | 176 ÷ 161 = 1 remainder 15 |
| 3 | 161 ÷ 15 = 10 remainder 11 |
| 4 | 15 ÷ 11 = 1 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 138 | 2346 |
| 137 and 178 | 24386 |
| 29 and 85 | 2465 |
| 105 and 149 | 15645 |
| 193 and 33 | 6369 |