Least Common Multiple (LCM) of 175 and 39
The least common multiple (LCM) of 175 and 39 is 6825.
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 39?
First, calculate the GCD of 175 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 39 = 4 remainder 19 |
| 2 | 39 ÷ 19 = 2 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 37 | 6105 |
| 164 and 150 | 12300 |
| 82 and 80 | 3280 |
| 96 and 133 | 12768 |
| 151 and 154 | 23254 |