Least Common Multiple (LCM) of 176 and 100
The least common multiple (LCM) of 176 and 100 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 176 and 100?
First, calculate the GCD of 176 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 100 = 1 remainder 76 |
| 2 | 100 ÷ 76 = 1 remainder 24 |
| 3 | 76 ÷ 24 = 3 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 28 | 1988 |
| 125 and 115 | 2875 |
| 84 and 38 | 1596 |
| 77 and 29 | 2233 |
| 131 and 73 | 9563 |