Least Common Multiple (LCM) of 103 and 52
The least common multiple (LCM) of 103 and 52 is 5356.
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 52?
First, calculate the GCD of 103 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 52 = 1 remainder 51 |
| 2 | 52 ÷ 51 = 1 remainder 1 |
| 3 | 51 ÷ 1 = 51 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 147 | 5292 |
| 14 and 194 | 1358 |
| 152 and 113 | 17176 |
| 168 and 116 | 4872 |
| 68 and 155 | 10540 |