Least Common Multiple (LCM) of 131 and 200
The least common multiple (LCM) of 131 and 200 is 26200.
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 131 and 200?
First, calculate the GCD of 131 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 200 = 0 remainder 131 |
| 2 | 200 ÷ 131 = 1 remainder 69 |
| 3 | 131 ÷ 69 = 1 remainder 62 |
| 4 | 69 ÷ 62 = 1 remainder 7 |
| 5 | 62 ÷ 7 = 8 remainder 6 |
| 6 | 7 ÷ 6 = 1 remainder 1 |
| 7 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 138 | 17250 |
| 42 and 134 | 2814 |
| 113 and 139 | 15707 |
| 43 and 107 | 4601 |
| 188 and 50 | 4700 |