Least Common Multiple (LCM) of 163 and 69
The least common multiple (LCM) of 163 and 69 is 11247.
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 69?
First, calculate the GCD of 163 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 69 = 2 remainder 25 |
| 2 | 69 ÷ 25 = 2 remainder 19 |
| 3 | 25 ÷ 19 = 1 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 77 | 693 |
| 44 and 136 | 1496 |
| 60 and 31 | 1860 |
| 64 and 148 | 2368 |
| 193 and 81 | 15633 |