Least Common Multiple (LCM) of 173 and 146
The least common multiple (LCM) of 173 and 146 is 25258.
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 173 and 146?
First, calculate the GCD of 173 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 146 = 1 remainder 27 |
| 2 | 146 ÷ 27 = 5 remainder 11 |
| 3 | 27 ÷ 11 = 2 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 84 | 84 |
| 84 and 117 | 3276 |
| 38 and 118 | 2242 |
| 187 and 80 | 14960 |
| 171 and 149 | 25479 |