Least Common Multiple (LCM) of 159 and 193
The least common multiple (LCM) of 159 and 193 is 30687.
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 159 and 193?
First, calculate the GCD of 159 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 193 = 0 remainder 159 |
| 2 | 193 ÷ 159 = 1 remainder 34 |
| 3 | 159 ÷ 34 = 4 remainder 23 |
| 4 | 34 ÷ 23 = 1 remainder 11 |
| 5 | 23 ÷ 11 = 2 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 59 | 1829 |
| 36 and 149 | 5364 |
| 93 and 106 | 9858 |
| 57 and 120 | 2280 |
| 19 and 61 | 1159 |