Least Common Multiple (LCM) of 25 and 121
The least common multiple (LCM) of 25 and 121 is 3025.
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 121?
First, calculate the GCD of 25 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 121 = 0 remainder 25 |
| 2 | 121 ÷ 25 = 4 remainder 21 |
| 3 | 25 ÷ 21 = 1 remainder 4 |
| 4 | 21 ÷ 4 = 5 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 126 | 756 |
| 132 and 101 | 13332 |
| 44 and 97 | 4268 |
| 129 and 81 | 3483 |
| 104 and 48 | 624 |