Least Common Multiple (LCM) of 163 and 107
The least common multiple (LCM) of 163 and 107 is 17441.
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 107?
First, calculate the GCD of 163 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 107 = 1 remainder 56 |
| 2 | 107 ÷ 56 = 1 remainder 51 |
| 3 | 56 ÷ 51 = 1 remainder 5 |
| 4 | 51 ÷ 5 = 10 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 134 | 24522 |
| 81 and 122 | 9882 |
| 190 and 67 | 12730 |
| 117 and 145 | 16965 |
| 160 and 69 | 11040 |