Least Common Multiple (LCM) of 116 and 125
The least common multiple (LCM) of 116 and 125 is 14500.
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 116 and 125?
First, calculate the GCD of 116 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 125 = 0 remainder 116 |
| 2 | 125 ÷ 116 = 1 remainder 9 |
| 3 | 116 ÷ 9 = 12 remainder 8 |
| 4 | 9 ÷ 8 = 1 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 99 | 2277 |
| 20 and 21 | 420 |
| 40 and 168 | 840 |
| 197 and 149 | 29353 |
| 159 and 169 | 26871 |