Least Common Multiple (LCM) of 173 and 118
The least common multiple (LCM) of 173 and 118 is 20414.
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 118?
First, calculate the GCD of 173 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 118 = 1 remainder 55 |
| 2 | 118 ÷ 55 = 2 remainder 8 |
| 3 | 55 ÷ 8 = 6 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 12 | 516 |
| 72 and 177 | 4248 |
| 80 and 90 | 720 |
| 84 and 65 | 5460 |
| 195 and 80 | 3120 |