Least Common Multiple (LCM) of 115 and 58
The least common multiple (LCM) of 115 and 58 is 6670.
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 115 and 58?
First, calculate the GCD of 115 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 58 = 1 remainder 57 |
| 2 | 58 ÷ 57 = 1 remainder 1 |
| 3 | 57 ÷ 1 = 57 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 121 | 847 |
| 29 and 191 | 5539 |
| 117 and 41 | 4797 |
| 149 and 87 | 12963 |
| 153 and 172 | 26316 |