Least Common Multiple (LCM) of 103 and 90
The least common multiple (LCM) of 103 and 90 is 9270.
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 90?
First, calculate the GCD of 103 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 90 = 1 remainder 13 |
| 2 | 90 ÷ 13 = 6 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 83 | 9462 |
| 125 and 17 | 2125 |
| 99 and 183 | 6039 |
| 27 and 88 | 2376 |
| 18 and 133 | 2394 |