Least Common Multiple (LCM) of 116 and 117
The least common multiple (LCM) of 116 and 117 is 13572.
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 117?
First, calculate the GCD of 116 and 117 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 117 = 0 remainder 116 |
| 2 | 117 ÷ 116 = 1 remainder 1 |
| 3 | 116 ÷ 1 = 116 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 42 | 5082 |
| 88 and 42 | 1848 |
| 137 and 188 | 25756 |
| 97 and 185 | 17945 |
| 58 and 194 | 5626 |