Least Common Multiple (LCM) of 117 and 116
The least common multiple (LCM) of 117 and 116 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 117 and 116?
First, calculate the GCD of 117 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 116 = 1 remainder 1 |
| 2 | 116 ÷ 1 = 116 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 160 | 6880 |
| 103 and 46 | 4738 |
| 174 and 59 | 10266 |
| 68 and 66 | 2244 |
| 77 and 72 | 5544 |