Least Common Multiple (LCM) of 200 and 141
The least common multiple (LCM) of 200 and 141 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 200 and 141?
First, calculate the GCD of 200 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 141 = 1 remainder 59 |
| 2 | 141 ÷ 59 = 2 remainder 23 |
| 3 | 59 ÷ 23 = 2 remainder 13 |
| 4 | 23 ÷ 13 = 1 remainder 10 |
| 5 | 13 ÷ 10 = 1 remainder 3 |
| 6 | 10 ÷ 3 = 3 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 148 | 16724 |
| 48 and 184 | 1104 |
| 17 and 38 | 646 |
| 69 and 33 | 759 |
| 199 and 148 | 29452 |