Least Common Multiple (LCM) of 46 and 200
The least common multiple (LCM) of 46 and 200 is 4600.
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 46 and 200?
First, calculate the GCD of 46 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 200 = 0 remainder 46 |
| 2 | 200 ÷ 46 = 4 remainder 16 |
| 3 | 46 ÷ 16 = 2 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 127 | 20701 |
| 196 and 132 | 6468 |
| 13 and 189 | 2457 |
| 157 and 126 | 19782 |
| 187 and 100 | 18700 |