Least Common Multiple (LCM) of 117 and 92
The least common multiple (LCM) of 117 and 92 is 10764.
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 92?
First, calculate the GCD of 117 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 92 = 1 remainder 25 |
| 2 | 92 ÷ 25 = 3 remainder 17 |
| 3 | 25 ÷ 17 = 1 remainder 8 |
| 4 | 17 ÷ 8 = 2 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 190 | 35910 |
| 105 and 180 | 1260 |
| 94 and 106 | 4982 |
| 78 and 44 | 1716 |
| 93 and 151 | 14043 |