Least Common Multiple (LCM) of 162 and 197
The least common multiple (LCM) of 162 and 197 is 31914.
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 197?
First, calculate the GCD of 162 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 197 = 0 remainder 162 |
| 2 | 197 ÷ 162 = 1 remainder 35 |
| 3 | 162 ÷ 35 = 4 remainder 22 |
| 4 | 35 ÷ 22 = 1 remainder 13 |
| 5 | 22 ÷ 13 = 1 remainder 9 |
| 6 | 13 ÷ 9 = 1 remainder 4 |
| 7 | 9 ÷ 4 = 2 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 164 | 2132 |
| 23 and 158 | 3634 |
| 94 and 103 | 9682 |
| 182 and 164 | 14924 |
| 67 and 172 | 11524 |