Least Common Multiple (LCM) of 25 and 106
The least common multiple (LCM) of 25 and 106 is 2650.
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 25 and 106?
First, calculate the GCD of 25 and 106 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 106 = 0 remainder 25 |
| 2 | 106 ÷ 25 = 4 remainder 6 |
| 3 | 25 ÷ 6 = 4 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 111 | 555 |
| 83 and 16 | 1328 |
| 67 and 191 | 12797 |
| 131 and 95 | 12445 |
| 37 and 83 | 3071 |