Least Common Multiple (LCM) of 102 and 124
The least common multiple (LCM) of 102 and 124 is 6324.
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 102 and 124?
First, calculate the GCD of 102 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 124 = 0 remainder 102 |
| 2 | 124 ÷ 102 = 1 remainder 22 |
| 3 | 102 ÷ 22 = 4 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 16 | 1168 |
| 12 and 192 | 192 |
| 10 and 18 | 90 |
| 25 and 199 | 4975 |
| 116 and 147 | 17052 |