Least Common Multiple (LCM) of 200 and 146
The least common multiple (LCM) of 200 and 146 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 200 and 146?
First, calculate the GCD of 200 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 146 = 1 remainder 54 |
| 2 | 146 ÷ 54 = 2 remainder 38 |
| 3 | 54 ÷ 38 = 1 remainder 16 |
| 4 | 38 ÷ 16 = 2 remainder 6 |
| 5 | 16 ÷ 6 = 2 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 174 | 13224 |
| 184 and 145 | 26680 |
| 185 and 175 | 6475 |
| 133 and 112 | 2128 |
| 191 and 155 | 29605 |