Least Common Multiple (LCM) of 147 and 200
The least common multiple (LCM) of 147 and 200 is 29400.
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 147 and 200?
First, calculate the GCD of 147 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 200 = 0 remainder 147 |
| 2 | 200 ÷ 147 = 1 remainder 53 |
| 3 | 147 ÷ 53 = 2 remainder 41 |
| 4 | 53 ÷ 41 = 1 remainder 12 |
| 5 | 41 ÷ 12 = 3 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 101 | 5555 |
| 89 and 158 | 14062 |
| 191 and 130 | 24830 |
| 167 and 143 | 23881 |
| 157 and 21 | 3297 |