Least Common Multiple (LCM) of 104 and 122
The least common multiple (LCM) of 104 and 122 is 6344.
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 104 and 122?
First, calculate the GCD of 104 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 122 = 0 remainder 104 |
| 2 | 122 ÷ 104 = 1 remainder 18 |
| 3 | 104 ÷ 18 = 5 remainder 14 |
| 4 | 18 ÷ 14 = 1 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 56 | 616 |
| 90 and 97 | 8730 |
| 31 and 79 | 2449 |
| 77 and 14 | 154 |
| 90 and 157 | 14130 |