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 |
|---|---|
| 122 and 70 | 4270 |
| 34 and 129 | 4386 |
| 183 and 24 | 1464 |
| 48 and 20 | 240 |
| 129 and 64 | 8256 |