Least Common Multiple (LCM) of 116 and 145
The least common multiple (LCM) of 116 and 145 is 580.
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 116 and 145?
First, calculate the GCD of 116 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 145 = 0 remainder 116 |
| 2 | 145 ÷ 116 = 1 remainder 29 |
| 3 | 116 ÷ 29 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 107 | 18725 |
| 108 and 49 | 5292 |
| 117 and 195 | 585 |
| 97 and 66 | 6402 |
| 156 and 31 | 4836 |