Least Common Multiple (LCM) of 122 and 130
The least common multiple (LCM) of 122 and 130 is 7930.
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 130?
First, calculate the GCD of 122 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 130 = 0 remainder 122 |
| 2 | 130 ÷ 122 = 1 remainder 8 |
| 3 | 122 ÷ 8 = 15 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 177 | 11859 |
| 54 and 32 | 864 |
| 123 and 104 | 12792 |
| 159 and 21 | 1113 |
| 148 and 10 | 740 |