Least Common Multiple (LCM) of 116 and 46
The least common multiple (LCM) of 116 and 46 is 2668.
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 46?
First, calculate the GCD of 116 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 46 = 2 remainder 24 |
| 2 | 46 ÷ 24 = 1 remainder 22 |
| 3 | 24 ÷ 22 = 1 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 13 | 1261 |
| 66 and 21 | 462 |
| 82 and 164 | 164 |
| 108 and 101 | 10908 |
| 64 and 121 | 7744 |