Least Common Multiple (LCM) of 175 and 146
The least common multiple (LCM) of 175 and 146 is 25550.
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 146?
First, calculate the GCD of 175 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 146 = 1 remainder 29 |
| 2 | 146 ÷ 29 = 5 remainder 1 |
| 3 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 61 | 854 |
| 106 and 41 | 4346 |
| 129 and 170 | 21930 |
| 195 and 63 | 4095 |
| 126 and 165 | 6930 |