Least Common Multiple (LCM) of 163 and 58
The least common multiple (LCM) of 163 and 58 is 9454.
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 58?
First, calculate the GCD of 163 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 58 = 2 remainder 47 |
| 2 | 58 ÷ 47 = 1 remainder 11 |
| 3 | 47 ÷ 11 = 4 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 35 | 1015 |
| 123 and 142 | 17466 |
| 123 and 88 | 10824 |
| 152 and 40 | 760 |
| 40 and 167 | 6680 |