Least Common Multiple (LCM) of 103 and 155
The least common multiple (LCM) of 103 and 155 is 15965.
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 155?
First, calculate the GCD of 103 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 155 = 0 remainder 103 |
| 2 | 155 ÷ 103 = 1 remainder 52 |
| 3 | 103 ÷ 52 = 1 remainder 51 |
| 4 | 52 ÷ 51 = 1 remainder 1 |
| 5 | 51 ÷ 1 = 51 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 24 | 1704 |
| 194 and 52 | 5044 |
| 134 and 120 | 8040 |
| 148 and 41 | 6068 |
| 28 and 41 | 1148 |