Least Common Multiple (LCM) of 25 and 126
The least common multiple (LCM) of 25 and 126 is 3150.
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 126?
First, calculate the GCD of 25 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 126 = 0 remainder 25 |
| 2 | 126 ÷ 25 = 5 remainder 1 |
| 3 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 60 | 120 |
| 74 and 146 | 5402 |
| 156 and 88 | 3432 |
| 125 and 87 | 10875 |
| 100 and 90 | 900 |