Least Common Multiple (LCM) of 162 and 191
The least common multiple (LCM) of 162 and 191 is 30942.
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 191?
First, calculate the GCD of 162 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 191 = 0 remainder 162 |
| 2 | 191 ÷ 162 = 1 remainder 29 |
| 3 | 162 ÷ 29 = 5 remainder 17 |
| 4 | 29 ÷ 17 = 1 remainder 12 |
| 5 | 17 ÷ 12 = 1 remainder 5 |
| 6 | 12 ÷ 5 = 2 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 93 | 12090 |
| 100 and 125 | 500 |
| 40 and 77 | 3080 |
| 75 and 130 | 1950 |
| 56 and 191 | 10696 |