Least Common Multiple (LCM) of 175 and 115
The least common multiple (LCM) of 175 and 115 is 4025.
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 115?
First, calculate the GCD of 175 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 115 = 1 remainder 60 |
| 2 | 115 ÷ 60 = 1 remainder 55 |
| 3 | 60 ÷ 55 = 1 remainder 5 |
| 4 | 55 ÷ 5 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 112 | 5264 |
| 17 and 138 | 2346 |
| 72 and 78 | 936 |
| 13 and 43 | 559 |
| 153 and 40 | 6120 |