Least Common Multiple (LCM) of 116 and 93
The least common multiple (LCM) of 116 and 93 is 10788.
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 93?
First, calculate the GCD of 116 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 93 = 1 remainder 23 |
| 2 | 93 ÷ 23 = 4 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 122 | 13298 |
| 71 and 145 | 10295 |
| 98 and 175 | 2450 |
| 29 and 117 | 3393 |
| 180 and 61 | 10980 |