Least Common Multiple (LCM) of 103 and 87
The least common multiple (LCM) of 103 and 87 is 8961.
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 87?
First, calculate the GCD of 103 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 87 = 1 remainder 16 |
| 2 | 87 ÷ 16 = 5 remainder 7 |
| 3 | 16 ÷ 7 = 2 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 200 | 31400 |
| 104 and 200 | 2600 |
| 170 and 69 | 11730 |
| 36 and 170 | 3060 |
| 65 and 53 | 3445 |