Least Common Multiple (LCM) of 124 and 82
The least common multiple (LCM) of 124 and 82 is 5084.
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 124 and 82?
First, calculate the GCD of 124 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 82 = 1 remainder 42 |
| 2 | 82 ÷ 42 = 1 remainder 40 |
| 3 | 42 ÷ 40 = 1 remainder 2 |
| 4 | 40 ÷ 2 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 164 | 7872 |
| 47 and 162 | 7614 |
| 12 and 194 | 1164 |
| 38 and 46 | 874 |
| 40 and 100 | 200 |