Least Common Multiple (LCM) of 196 and 163
The least common multiple (LCM) of 196 and 163 is 31948.
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 196 and 163?
First, calculate the GCD of 196 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 163 = 1 remainder 33 |
| 2 | 163 ÷ 33 = 4 remainder 31 |
| 3 | 33 ÷ 31 = 1 remainder 2 |
| 4 | 31 ÷ 2 = 15 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 12 | 2028 |
| 139 and 81 | 11259 |
| 47 and 132 | 6204 |
| 102 and 170 | 510 |
| 78 and 93 | 2418 |