Least Common Multiple (LCM) of 162 and 196
The least common multiple (LCM) of 162 and 196 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 162 and 196?
First, calculate the GCD of 162 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 196 = 0 remainder 162 |
| 2 | 196 ÷ 162 = 1 remainder 34 |
| 3 | 162 ÷ 34 = 4 remainder 26 |
| 4 | 34 ÷ 26 = 1 remainder 8 |
| 5 | 26 ÷ 8 = 3 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 131 | 20043 |
| 36 and 128 | 1152 |
| 147 and 120 | 5880 |
| 174 and 160 | 13920 |
| 144 and 189 | 3024 |