Least Common Multiple (LCM) of 169 and 181
The least common multiple (LCM) of 169 and 181 is 30589.
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 181?
First, calculate the GCD of 169 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 181 = 0 remainder 169 |
| 2 | 181 ÷ 169 = 1 remainder 12 |
| 3 | 169 ÷ 12 = 14 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 189 | 3024 |
| 199 and 175 | 34825 |
| 113 and 102 | 11526 |
| 85 and 132 | 11220 |
| 14 and 164 | 1148 |