Least Common Multiple (LCM) of 139 and 200
The least common multiple (LCM) of 139 and 200 is 27800.
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 139 and 200?
First, calculate the GCD of 139 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 200 = 0 remainder 139 |
| 2 | 200 ÷ 139 = 1 remainder 61 |
| 3 | 139 ÷ 61 = 2 remainder 17 |
| 4 | 61 ÷ 17 = 3 remainder 10 |
| 5 | 17 ÷ 10 = 1 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 142 | 25134 |
| 112 and 26 | 1456 |
| 192 and 90 | 2880 |
| 28 and 108 | 756 |
| 154 and 196 | 2156 |