Least Common Multiple (LCM) of 146 and 200
The least common multiple (LCM) of 146 and 200 is 14600.
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 146 and 200?
First, calculate the GCD of 146 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 200 = 0 remainder 146 |
| 2 | 200 ÷ 146 = 1 remainder 54 |
| 3 | 146 ÷ 54 = 2 remainder 38 |
| 4 | 54 ÷ 38 = 1 remainder 16 |
| 5 | 38 ÷ 16 = 2 remainder 6 |
| 6 | 16 ÷ 6 = 2 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 41 | 4797 |
| 196 and 148 | 7252 |
| 150 and 177 | 8850 |
| 48 and 63 | 1008 |
| 89 and 75 | 6675 |