Least Common Multiple (LCM) of 175 and 145
The least common multiple (LCM) of 175 and 145 is 5075.
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 145?
First, calculate the GCD of 175 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 145 = 1 remainder 30 |
| 2 | 145 ÷ 30 = 4 remainder 25 |
| 3 | 30 ÷ 25 = 1 remainder 5 |
| 4 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 30 | 1680 |
| 111 and 123 | 4551 |
| 27 and 150 | 1350 |
| 124 and 83 | 10292 |
| 195 and 71 | 13845 |