Least Common Multiple (LCM) of 175 and 117
The least common multiple (LCM) of 175 and 117 is 20475.
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 175 and 117?
First, calculate the GCD of 175 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 117 = 1 remainder 58 |
| 2 | 117 ÷ 58 = 2 remainder 1 |
| 3 | 58 ÷ 1 = 58 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 156 | 780 |
| 185 and 83 | 15355 |
| 146 and 107 | 15622 |
| 172 and 87 | 14964 |
| 104 and 72 | 936 |