Least Common Multiple (LCM) of 176 and 126
The least common multiple (LCM) of 176 and 126 is 11088.
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 126?
First, calculate the GCD of 176 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 126 = 1 remainder 50 |
| 2 | 126 ÷ 50 = 2 remainder 26 |
| 3 | 50 ÷ 26 = 1 remainder 24 |
| 4 | 26 ÷ 24 = 1 remainder 2 |
| 5 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 128 | 384 |
| 148 and 81 | 11988 |
| 85 and 66 | 5610 |
| 84 and 39 | 1092 |
| 16 and 103 | 1648 |