Least Common Multiple (LCM) of 175 and 181
The least common multiple (LCM) of 175 and 181 is 31675.
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 181?
First, calculate the GCD of 175 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 181 = 0 remainder 175 |
| 2 | 181 ÷ 175 = 1 remainder 6 |
| 3 | 175 ÷ 6 = 29 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 135 | 4185 |
| 40 and 142 | 2840 |
| 140 and 111 | 15540 |
| 107 and 111 | 11877 |
| 97 and 127 | 12319 |