Least Common Multiple (LCM) of 103 and 124
The least common multiple (LCM) of 103 and 124 is 12772.
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 124?
First, calculate the GCD of 103 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 124 = 0 remainder 103 |
| 2 | 124 ÷ 103 = 1 remainder 21 |
| 3 | 103 ÷ 21 = 4 remainder 19 |
| 4 | 21 ÷ 19 = 1 remainder 2 |
| 5 | 19 ÷ 2 = 9 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 174 | 32538 |
| 163 and 111 | 18093 |
| 54 and 186 | 1674 |
| 170 and 86 | 7310 |
| 89 and 59 | 5251 |