Least Common Multiple (LCM) of 50 and 176
The least common multiple (LCM) of 50 and 176 is 4400.
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 50 and 176?
First, calculate the GCD of 50 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 176 = 0 remainder 50 |
| 2 | 176 ÷ 50 = 3 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 |
|---|---|
| 132 and 170 | 11220 |
| 178 and 127 | 22606 |
| 104 and 199 | 20696 |
| 114 and 140 | 7980 |
| 96 and 188 | 4512 |