Least Common Multiple (LCM) of 169 and 43
The least common multiple (LCM) of 169 and 43 is 7267.
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 43?
First, calculate the GCD of 169 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 43 = 3 remainder 40 |
| 2 | 43 ÷ 40 = 1 remainder 3 |
| 3 | 40 ÷ 3 = 13 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 23 | 2737 |
| 162 and 144 | 1296 |
| 11 and 158 | 1738 |
| 68 and 83 | 5644 |
| 110 and 180 | 1980 |