Least Common Multiple (LCM) of 133 and 175
The least common multiple (LCM) of 133 and 175 is 3325.
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 133 and 175?
First, calculate the GCD of 133 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 133 ÷ 175 = 0 remainder 133 |
| 2 | 175 ÷ 133 = 1 remainder 42 |
| 3 | 133 ÷ 42 = 3 remainder 7 |
| 4 | 42 ÷ 7 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 114 | 22002 |
| 114 and 105 | 3990 |
| 165 and 186 | 10230 |
| 63 and 171 | 1197 |
| 187 and 20 | 3740 |