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 |
|---|---|
| 165 and 141 | 7755 |
| 108 and 196 | 5292 |
| 184 and 149 | 27416 |
| 122 and 106 | 6466 |
| 42 and 101 | 4242 |