Least Common Multiple (LCM) of 163 and 25
The least common multiple (LCM) of 163 and 25 is 4075.
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 163 and 25?
First, calculate the GCD of 163 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 25 = 6 remainder 13 |
| 2 | 25 ÷ 13 = 1 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 41 | 6683 |
| 29 and 70 | 2030 |
| 195 and 163 | 31785 |
| 162 and 106 | 8586 |
| 123 and 99 | 4059 |