Least Common Multiple (LCM) of 176 and 92
The least common multiple (LCM) of 176 and 92 is 4048.
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 92?
First, calculate the GCD of 176 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 92 = 1 remainder 84 |
| 2 | 92 ÷ 84 = 1 remainder 8 |
| 3 | 84 ÷ 8 = 10 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 128 | 14464 |
| 76 and 162 | 6156 |
| 190 and 68 | 6460 |
| 112 and 89 | 9968 |
| 19 and 81 | 1539 |