Least Common Multiple (LCM) of 163 and 118
The least common multiple (LCM) of 163 and 118 is 19234.
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 118?
First, calculate the GCD of 163 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 118 = 1 remainder 45 |
| 2 | 118 ÷ 45 = 2 remainder 28 |
| 3 | 45 ÷ 28 = 1 remainder 17 |
| 4 | 28 ÷ 17 = 1 remainder 11 |
| 5 | 17 ÷ 11 = 1 remainder 6 |
| 6 | 11 ÷ 6 = 1 remainder 5 |
| 7 | 6 ÷ 5 = 1 remainder 1 |
| 8 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 88 | 7128 |
| 24 and 79 | 1896 |
| 87 and 199 | 17313 |
| 121 and 80 | 9680 |
| 37 and 52 | 1924 |