Least Common Multiple (LCM) of 124 and 66
The least common multiple (LCM) of 124 and 66 is 4092.
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 66?
First, calculate the GCD of 124 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 66 = 1 remainder 58 |
| 2 | 66 ÷ 58 = 1 remainder 8 |
| 3 | 58 ÷ 8 = 7 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 16 | 2320 |
| 90 and 35 | 630 |
| 84 and 107 | 8988 |
| 30 and 200 | 600 |
| 83 and 186 | 15438 |