Least Common Multiple (LCM) of 193 and 162
The least common multiple (LCM) of 193 and 162 is 31266.
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 193 and 162?
First, calculate the GCD of 193 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 193 ÷ 162 = 1 remainder 31 |
| 2 | 162 ÷ 31 = 5 remainder 7 |
| 3 | 31 ÷ 7 = 4 remainder 3 |
| 4 | 7 ÷ 3 = 2 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 114 | 3876 |
| 162 and 55 | 8910 |
| 22 and 175 | 3850 |
| 121 and 29 | 3509 |
| 150 and 45 | 450 |