Least Common Multiple (LCM) of 91 and 159
The least common multiple (LCM) of 91 and 159 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 91 and 159?
First, calculate the GCD of 91 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 159 = 0 remainder 91 |
| 2 | 159 ÷ 91 = 1 remainder 68 |
| 3 | 91 ÷ 68 = 1 remainder 23 |
| 4 | 68 ÷ 23 = 2 remainder 22 |
| 5 | 23 ÷ 22 = 1 remainder 1 |
| 6 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 108 | 5724 |
| 107 and 49 | 5243 |
| 48 and 42 | 336 |
| 81 and 45 | 405 |
| 94 and 146 | 6862 |