Least Common Multiple (LCM) of 122 and 94
The least common multiple (LCM) of 122 and 94 is 5734.
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 122 and 94?
First, calculate the GCD of 122 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 94 = 1 remainder 28 |
| 2 | 94 ÷ 28 = 3 remainder 10 |
| 3 | 28 ÷ 10 = 2 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 63 | 10332 |
| 16 and 185 | 2960 |
| 10 and 15 | 30 |
| 107 and 192 | 20544 |
| 116 and 107 | 12412 |