Least Common Multiple (LCM) of 127 and 176
The least common multiple (LCM) of 127 and 176 is 22352.
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 127 and 176?
First, calculate the GCD of 127 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 176 = 0 remainder 127 |
| 2 | 176 ÷ 127 = 1 remainder 49 |
| 3 | 127 ÷ 49 = 2 remainder 29 |
| 4 | 49 ÷ 29 = 1 remainder 20 |
| 5 | 29 ÷ 20 = 1 remainder 9 |
| 6 | 20 ÷ 9 = 2 remainder 2 |
| 7 | 9 ÷ 2 = 4 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 105 | 4200 |
| 116 and 32 | 928 |
| 104 and 117 | 936 |
| 78 and 53 | 4134 |
| 54 and 200 | 5400 |