Least Common Multiple (LCM) of 116 and 122
The least common multiple (LCM) of 116 and 122 is 7076.
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 122?
First, calculate the GCD of 116 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 122 = 0 remainder 116 |
| 2 | 122 ÷ 116 = 1 remainder 6 |
| 3 | 116 ÷ 6 = 19 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 163 | 1956 |
| 62 and 142 | 4402 |
| 166 and 133 | 22078 |
| 93 and 112 | 10416 |
| 123 and 109 | 13407 |