Least Common Multiple (LCM) of 25 and 98
The least common multiple (LCM) of 25 and 98 is 2450.
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 98?
First, calculate the GCD of 25 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 98 = 0 remainder 25 |
| 2 | 98 ÷ 25 = 3 remainder 23 |
| 3 | 25 ÷ 23 = 1 remainder 2 |
| 4 | 23 ÷ 2 = 11 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 147 | 5733 |
| 90 and 177 | 5310 |
| 106 and 196 | 10388 |
| 112 and 198 | 11088 |
| 162 and 200 | 16200 |