Least Common Multiple (LCM) of 200 and 134
The least common multiple (LCM) of 200 and 134 is 13400.
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 134?
First, calculate the GCD of 200 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 134 = 1 remainder 66 |
| 2 | 134 ÷ 66 = 2 remainder 2 |
| 3 | 66 ÷ 2 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 44 | 2508 |
| 88 and 182 | 8008 |
| 109 and 95 | 10355 |
| 179 and 11 | 1969 |
| 188 and 28 | 1316 |