Least Common Multiple (LCM) of 97 and 25
The least common multiple (LCM) of 97 and 25 is 2425.
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 97 and 25?
First, calculate the GCD of 97 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 25 = 3 remainder 22 |
| 2 | 25 ÷ 22 = 1 remainder 3 |
| 3 | 22 ÷ 3 = 7 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 192 | 38208 |
| 170 and 57 | 9690 |
| 74 and 97 | 7178 |
| 119 and 112 | 1904 |
| 67 and 18 | 1206 |