Least Common Multiple (LCM) of 103 and 137
The least common multiple (LCM) of 103 and 137 is 14111.
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 103 and 137?
First, calculate the GCD of 103 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 137 = 0 remainder 103 |
| 2 | 137 ÷ 103 = 1 remainder 34 |
| 3 | 103 ÷ 34 = 3 remainder 1 |
| 4 | 34 ÷ 1 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 11 | 2167 |
| 69 and 71 | 4899 |
| 133 and 195 | 25935 |
| 101 and 50 | 5050 |
| 127 and 186 | 23622 |