Least Common Multiple (LCM) of 122 and 107
The least common multiple (LCM) of 122 and 107 is 13054.
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 107?
First, calculate the GCD of 122 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 107 = 1 remainder 15 |
| 2 | 107 ÷ 15 = 7 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 85 | 5355 |
| 142 and 119 | 16898 |
| 155 and 54 | 8370 |
| 103 and 27 | 2781 |
| 100 and 62 | 3100 |