Least Common Multiple (LCM) of 175 and 140
The least common multiple (LCM) of 175 and 140 is 700.
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 140?
First, calculate the GCD of 175 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 140 = 1 remainder 35 |
| 2 | 140 ÷ 35 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 144 | 25776 |
| 25 and 179 | 4475 |
| 103 and 122 | 12566 |
| 161 and 132 | 21252 |
| 35 and 67 | 2345 |