Least Common Multiple (LCM) of 169 and 159
The least common multiple (LCM) of 169 and 159 is 26871.
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 169 and 159?
First, calculate the GCD of 169 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 159 = 1 remainder 10 |
| 2 | 159 ÷ 10 = 15 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 156 | 5460 |
| 184 and 135 | 24840 |
| 182 and 189 | 4914 |
| 28 and 172 | 1204 |
| 138 and 177 | 8142 |