Least Common Multiple (LCM) of 176 and 200
The least common multiple (LCM) of 176 and 200 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 200?
First, calculate the GCD of 176 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 200 = 0 remainder 176 |
| 2 | 200 ÷ 176 = 1 remainder 24 |
| 3 | 176 ÷ 24 = 7 remainder 8 |
| 4 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 12 | 276 |
| 154 and 40 | 3080 |
| 101 and 62 | 6262 |
| 192 and 60 | 960 |
| 165 and 133 | 21945 |