Least Common Multiple (LCM) of 92 and 121
The least common multiple (LCM) of 92 and 121 is 11132.
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 92 and 121?
First, calculate the GCD of 92 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 121 = 0 remainder 92 |
| 2 | 121 ÷ 92 = 1 remainder 29 |
| 3 | 92 ÷ 29 = 3 remainder 5 |
| 4 | 29 ÷ 5 = 5 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 189 | 10017 |
| 15 and 118 | 1770 |
| 22 and 105 | 2310 |
| 164 and 104 | 4264 |
| 162 and 66 | 1782 |