Least Common Multiple (LCM) of 118 and 173
The least common multiple (LCM) of 118 and 173 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 118 and 173?
First, calculate the GCD of 118 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 173 = 0 remainder 118 |
| 2 | 173 ÷ 118 = 1 remainder 55 |
| 3 | 118 ÷ 55 = 2 remainder 8 |
| 4 | 55 ÷ 8 = 6 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 29 | 4727 |
| 143 and 83 | 11869 |
| 77 and 75 | 5775 |
| 135 and 109 | 14715 |
| 47 and 183 | 8601 |