Least Common Multiple (LCM) of 200 and 158
The least common multiple (LCM) of 200 and 158 is 15800.
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 158?
First, calculate the GCD of 200 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 158 = 1 remainder 42 |
| 2 | 158 ÷ 42 = 3 remainder 32 |
| 3 | 42 ÷ 32 = 1 remainder 10 |
| 4 | 32 ÷ 10 = 3 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 65 | 4680 |
| 129 and 36 | 1548 |
| 108 and 128 | 3456 |
| 199 and 147 | 29253 |
| 175 and 158 | 27650 |