Least Common Multiple (LCM) of 116 and 58
The least common multiple (LCM) of 116 and 58 is 116.
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 58?
First, calculate the GCD of 116 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 58 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 105 | 4830 |
| 144 and 123 | 5904 |
| 81 and 23 | 1863 |
| 64 and 199 | 12736 |
| 98 and 83 | 8134 |