Least Common Multiple (LCM) of 175 and 177
The least common multiple (LCM) of 175 and 177 is 30975.
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 177?
First, calculate the GCD of 175 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 177 = 0 remainder 175 |
| 2 | 177 ÷ 175 = 1 remainder 2 |
| 3 | 175 ÷ 2 = 87 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 111 | 5328 |
| 100 and 54 | 2700 |
| 35 and 64 | 2240 |
| 166 and 49 | 8134 |
| 102 and 12 | 204 |