Least Common Multiple (LCM) of 159 and 91
The least common multiple (LCM) of 159 and 91 is 14469.
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 91?
First, calculate the GCD of 159 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 91 = 1 remainder 68 |
| 2 | 91 ÷ 68 = 1 remainder 23 |
| 3 | 68 ÷ 23 = 2 remainder 22 |
| 4 | 23 ÷ 22 = 1 remainder 1 |
| 5 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 192 | 3648 |
| 78 and 58 | 2262 |
| 120 and 127 | 15240 |
| 140 and 130 | 1820 |
| 34 and 188 | 3196 |