Least Common Multiple (LCM) of 139 and 103
The least common multiple (LCM) of 139 and 103 is 14317.
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 139 and 103?
First, calculate the GCD of 139 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 103 = 1 remainder 36 |
| 2 | 103 ÷ 36 = 2 remainder 31 |
| 3 | 36 ÷ 31 = 1 remainder 5 |
| 4 | 31 ÷ 5 = 6 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 57 | 2622 |
| 158 and 99 | 15642 |
| 122 and 79 | 9638 |
| 44 and 88 | 88 |
| 49 and 75 | 3675 |