Least Common Multiple (LCM) of 196 and 162
The least common multiple (LCM) of 196 and 162 is 15876.
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 162?
First, calculate the GCD of 196 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 162 = 1 remainder 34 |
| 2 | 162 ÷ 34 = 4 remainder 26 |
| 3 | 34 ÷ 26 = 1 remainder 8 |
| 4 | 26 ÷ 8 = 3 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 67 | 1474 |
| 40 and 190 | 760 |
| 32 and 179 | 5728 |
| 78 and 31 | 2418 |
| 139 and 161 | 22379 |