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 |
|---|---|
| 66 and 195 | 4290 |
| 30 and 180 | 180 |
| 121 and 144 | 17424 |
| 112 and 124 | 3472 |
| 85 and 113 | 9605 |