Least Common Multiple (LCM) of 200 and 188
The least common multiple (LCM) of 200 and 188 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 200 and 188?
First, calculate the GCD of 200 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 188 = 1 remainder 12 |
| 2 | 188 ÷ 12 = 15 remainder 8 |
| 3 | 12 ÷ 8 = 1 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 173 | 21971 |
| 184 and 179 | 32936 |
| 47 and 108 | 5076 |
| 82 and 129 | 10578 |
| 40 and 24 | 120 |