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 |
|---|---|
| 141 and 99 | 4653 |
| 67 and 153 | 10251 |
| 31 and 138 | 4278 |
| 107 and 196 | 20972 |
| 128 and 96 | 384 |