Least Common Multiple (LCM) of 176 and 124
The least common multiple (LCM) of 176 and 124 is 5456.
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 124?
First, calculate the GCD of 176 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 124 = 1 remainder 52 |
| 2 | 124 ÷ 52 = 2 remainder 20 |
| 3 | 52 ÷ 20 = 2 remainder 12 |
| 4 | 20 ÷ 12 = 1 remainder 8 |
| 5 | 12 ÷ 8 = 1 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 165 | 495 |
| 78 and 146 | 5694 |
| 123 and 105 | 4305 |
| 162 and 144 | 1296 |
| 22 and 195 | 4290 |