Least Common Multiple (LCM) of 159 and 88
The least common multiple (LCM) of 159 and 88 is 13992.
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 88?
First, calculate the GCD of 159 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 88 = 1 remainder 71 |
| 2 | 88 ÷ 71 = 1 remainder 17 |
| 3 | 71 ÷ 17 = 4 remainder 3 |
| 4 | 17 ÷ 3 = 5 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 86 | 1548 |
| 10 and 54 | 270 |
| 53 and 99 | 5247 |
| 30 and 190 | 570 |
| 140 and 79 | 11060 |