Least Common Multiple (LCM) of 176 and 87
The least common multiple (LCM) of 176 and 87 is 15312.
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 87?
First, calculate the GCD of 176 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 87 = 2 remainder 2 |
| 2 | 87 ÷ 2 = 43 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 161 | 805 |
| 194 and 151 | 29294 |
| 180 and 71 | 12780 |
| 199 and 66 | 13134 |
| 94 and 175 | 16450 |