Least Common Multiple (LCM) of 178 and 163
The least common multiple (LCM) of 178 and 163 is 29014.
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 178 and 163?
First, calculate the GCD of 178 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 163 = 1 remainder 15 |
| 2 | 163 ÷ 15 = 10 remainder 13 |
| 3 | 15 ÷ 13 = 1 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 16 | 1936 |
| 108 and 40 | 1080 |
| 65 and 107 | 6955 |
| 121 and 67 | 8107 |
| 189 and 37 | 6993 |