Least Common Multiple (LCM) of 188 and 200
The least common multiple (LCM) of 188 and 200 is 9400.
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 188 and 200?
First, calculate the GCD of 188 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 200 = 0 remainder 188 |
| 2 | 200 ÷ 188 = 1 remainder 12 |
| 3 | 188 ÷ 12 = 15 remainder 8 |
| 4 | 12 ÷ 8 = 1 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 75 | 75 |
| 160 and 67 | 10720 |
| 69 and 195 | 4485 |
| 181 and 192 | 34752 |
| 127 and 61 | 7747 |