Least Common Multiple (LCM) of 103 and 95
The least common multiple (LCM) of 103 and 95 is 9785.
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 95?
First, calculate the GCD of 103 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 95 = 1 remainder 8 |
| 2 | 95 ÷ 8 = 11 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 179 | 24344 |
| 17 and 46 | 782 |
| 143 and 180 | 25740 |
| 15 and 185 | 555 |
| 11 and 74 | 814 |