Least Common Multiple (LCM) of 122 and 68
The least common multiple (LCM) of 122 and 68 is 4148.
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 68?
First, calculate the GCD of 122 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 68 = 1 remainder 54 |
| 2 | 68 ÷ 54 = 1 remainder 14 |
| 3 | 54 ÷ 14 = 3 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 84 | 2604 |
| 119 and 179 | 21301 |
| 134 and 88 | 5896 |
| 193 and 21 | 4053 |
| 82 and 83 | 6806 |