Least Common Multiple (LCM) of 176 and 181
The least common multiple (LCM) of 176 and 181 is 31856.
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 176 and 181?
First, calculate the GCD of 176 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 181 = 0 remainder 176 |
| 2 | 181 ÷ 176 = 1 remainder 5 |
| 3 | 176 ÷ 5 = 35 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 184 | 19320 |
| 191 and 197 | 37627 |
| 132 and 136 | 4488 |
| 180 and 38 | 3420 |
| 169 and 79 | 13351 |