Least Common Multiple (LCM) of 25 and 164
The least common multiple (LCM) of 25 and 164 is 4100.
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 164?
First, calculate the GCD of 25 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 164 = 0 remainder 25 |
| 2 | 164 ÷ 25 = 6 remainder 14 |
| 3 | 25 ÷ 14 = 1 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 191 | 36099 |
| 161 and 179 | 28819 |
| 119 and 61 | 7259 |
| 103 and 37 | 3811 |
| 64 and 27 | 1728 |