Least Common Multiple (LCM) of 145 and 175
The least common multiple (LCM) of 145 and 175 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 145 and 175?
First, calculate the GCD of 145 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 175 = 0 remainder 145 |
| 2 | 175 ÷ 145 = 1 remainder 30 |
| 3 | 145 ÷ 30 = 4 remainder 25 |
| 4 | 30 ÷ 25 = 1 remainder 5 |
| 5 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 175 | 25200 |
| 16 and 155 | 2480 |
| 39 and 153 | 1989 |
| 142 and 78 | 5538 |
| 100 and 51 | 5100 |