Least Common Multiple (LCM) of 121 and 92
The least common multiple (LCM) of 121 and 92 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 121 and 92?
First, calculate the GCD of 121 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 92 = 1 remainder 29 |
| 2 | 92 ÷ 29 = 3 remainder 5 |
| 3 | 29 ÷ 5 = 5 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 77 | 1386 |
| 81 and 65 | 5265 |
| 12 and 144 | 144 |
| 198 and 129 | 8514 |
| 116 and 139 | 16124 |