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 |
|---|---|
| 146 and 121 | 17666 |
| 49 and 178 | 8722 |
| 166 and 129 | 21414 |
| 153 and 161 | 24633 |
| 134 and 147 | 19698 |