Least Common Multiple (LCM) of 117 and 173
The least common multiple (LCM) of 117 and 173 is 20241.
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 117 and 173?
First, calculate the GCD of 117 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 173 = 0 remainder 117 |
| 2 | 173 ÷ 117 = 1 remainder 56 |
| 3 | 117 ÷ 56 = 2 remainder 5 |
| 4 | 56 ÷ 5 = 11 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 96 | 672 |
| 134 and 121 | 16214 |
| 19 and 125 | 2375 |
| 83 and 166 | 166 |
| 177 and 118 | 354 |