Least Common Multiple (LCM) of 106 and 103
The least common multiple (LCM) of 106 and 103 is 10918.
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 106 and 103?
First, calculate the GCD of 106 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 103 = 1 remainder 3 |
| 2 | 103 ÷ 3 = 34 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 173 | 3460 |
| 128 and 186 | 11904 |
| 129 and 48 | 2064 |
| 140 and 160 | 1120 |
| 72 and 14 | 504 |