Least Common Multiple (LCM) of 25 and 178
The least common multiple (LCM) of 25 and 178 is 4450.
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 178?
First, calculate the GCD of 25 and 178 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 178 = 0 remainder 25 |
| 2 | 178 ÷ 25 = 7 remainder 3 |
| 3 | 25 ÷ 3 = 8 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 134 | 4958 |
| 15 and 69 | 345 |
| 116 and 173 | 20068 |
| 138 and 21 | 966 |
| 81 and 168 | 4536 |