Least Common Multiple (LCM) of 25 and 92
The least common multiple (LCM) of 25 and 92 is 2300.
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 92?
First, calculate the GCD of 25 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 92 = 0 remainder 25 |
| 2 | 92 ÷ 25 = 3 remainder 17 |
| 3 | 25 ÷ 17 = 1 remainder 8 |
| 4 | 17 ÷ 8 = 2 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 57 | 912 |
| 13 and 143 | 143 |
| 12 and 70 | 420 |
| 198 and 118 | 11682 |
| 25 and 73 | 1825 |