Least Common Multiple (LCM) of 141 and 200
The least common multiple (LCM) of 141 and 200 is 28200.
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 141 and 200?
First, calculate the GCD of 141 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 200 = 0 remainder 141 |
| 2 | 200 ÷ 141 = 1 remainder 59 |
| 3 | 141 ÷ 59 = 2 remainder 23 |
| 4 | 59 ÷ 23 = 2 remainder 13 |
| 5 | 23 ÷ 13 = 1 remainder 10 |
| 6 | 13 ÷ 10 = 1 remainder 3 |
| 7 | 10 ÷ 3 = 3 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 150 | 16050 |
| 32 and 105 | 3360 |
| 190 and 194 | 18430 |
| 50 and 85 | 850 |
| 150 and 117 | 5850 |