Least Common Multiple (LCM) of 123 and 39
The least common multiple (LCM) of 123 and 39 is 1599.
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 123 and 39?
First, calculate the GCD of 123 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 123 ÷ 39 = 3 remainder 6 |
| 2 | 39 ÷ 6 = 6 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 100 | 18100 |
| 200 and 142 | 14200 |
| 95 and 105 | 1995 |
| 18 and 41 | 738 |
| 86 and 191 | 16426 |