Least Common Multiple (LCM) of 169 and 131
The least common multiple (LCM) of 169 and 131 is 22139.
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 131?
First, calculate the GCD of 169 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 131 = 1 remainder 38 |
| 2 | 131 ÷ 38 = 3 remainder 17 |
| 3 | 38 ÷ 17 = 2 remainder 4 |
| 4 | 17 ÷ 4 = 4 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 169 | 845 |
| 174 and 187 | 32538 |
| 186 and 65 | 12090 |
| 103 and 47 | 4841 |
| 144 and 101 | 14544 |