Least Common Multiple (LCM) of 169 and 173
The least common multiple (LCM) of 169 and 173 is 29237.
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 173?
First, calculate the GCD of 169 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 173 = 0 remainder 169 |
| 2 | 173 ÷ 169 = 1 remainder 4 |
| 3 | 169 ÷ 4 = 42 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 105 | 6930 |
| 112 and 128 | 896 |
| 75 and 158 | 11850 |
| 190 and 74 | 7030 |
| 47 and 130 | 6110 |