Least Common Multiple (LCM) of 118 and 200
The least common multiple (LCM) of 118 and 200 is 11800.
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 118 and 200?
First, calculate the GCD of 118 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 200 = 0 remainder 118 |
| 2 | 200 ÷ 118 = 1 remainder 82 |
| 3 | 118 ÷ 82 = 1 remainder 36 |
| 4 | 82 ÷ 36 = 2 remainder 10 |
| 5 | 36 ÷ 10 = 3 remainder 6 |
| 6 | 10 ÷ 6 = 1 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 95 | 9880 |
| 122 and 90 | 5490 |
| 78 and 107 | 8346 |
| 42 and 54 | 378 |
| 48 and 48 | 48 |