Least Common Multiple (LCM) of 175 and 133
The least common multiple (LCM) of 175 and 133 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 175 and 133?
First, calculate the GCD of 175 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 133 = 1 remainder 42 |
| 2 | 133 ÷ 42 = 3 remainder 7 |
| 3 | 42 ÷ 7 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 109 | 17549 |
| 176 and 144 | 1584 |
| 196 and 20 | 980 |
| 92 and 99 | 9108 |
| 158 and 89 | 14062 |