Least Common Multiple (LCM) of 39 and 104
The least common multiple (LCM) of 39 and 104 is 312.
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 39 and 104?
First, calculate the GCD of 39 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 104 = 0 remainder 39 |
| 2 | 104 ÷ 39 = 2 remainder 26 |
| 3 | 39 ÷ 26 = 1 remainder 13 |
| 4 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 33 | 4587 |
| 45 and 13 | 585 |
| 187 and 86 | 16082 |
| 154 and 14 | 154 |
| 169 and 63 | 10647 |