Least Common Multiple (LCM) of 196 and 25
The least common multiple (LCM) of 196 and 25 is 4900.
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 196 and 25?
First, calculate the GCD of 196 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 25 = 7 remainder 21 |
| 2 | 25 ÷ 21 = 1 remainder 4 |
| 3 | 21 ÷ 4 = 5 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 29 | 3683 |
| 136 and 88 | 1496 |
| 117 and 97 | 11349 |
| 82 and 22 | 902 |
| 175 and 42 | 1050 |