Least Common Multiple (LCM) of 159 and 59
The least common multiple (LCM) of 159 and 59 is 9381.
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 59?
First, calculate the GCD of 159 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 59 = 2 remainder 41 |
| 2 | 59 ÷ 41 = 1 remainder 18 |
| 3 | 41 ÷ 18 = 2 remainder 5 |
| 4 | 18 ÷ 5 = 3 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 21 | 4179 |
| 92 and 140 | 3220 |
| 158 and 20 | 1580 |
| 38 and 133 | 266 |
| 178 and 69 | 12282 |