Least Common Multiple (LCM) of 106 and 124
The least common multiple (LCM) of 106 and 124 is 6572.
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 106 and 124?
First, calculate the GCD of 106 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 124 = 0 remainder 106 |
| 2 | 124 ÷ 106 = 1 remainder 18 |
| 3 | 106 ÷ 18 = 5 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 42 | 84 |
| 14 and 36 | 252 |
| 140 and 75 | 2100 |
| 184 and 195 | 35880 |
| 46 and 198 | 4554 |