Least Common Multiple (LCM) of 39 and 76
The least common multiple (LCM) of 39 and 76 is 2964.
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 76?
First, calculate the GCD of 39 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 76 = 0 remainder 39 |
| 2 | 76 ÷ 39 = 1 remainder 37 |
| 3 | 39 ÷ 37 = 1 remainder 2 |
| 4 | 37 ÷ 2 = 18 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 104 | 8008 |
| 59 and 49 | 2891 |
| 175 and 108 | 18900 |
| 51 and 28 | 1428 |
| 71 and 49 | 3479 |