Least Common Multiple (LCM) of 39 and 127
The least common multiple (LCM) of 39 and 127 is 4953.
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 127?
First, calculate the GCD of 39 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 39 ÷ 127 = 0 remainder 39 |
| 2 | 127 ÷ 39 = 3 remainder 10 |
| 3 | 39 ÷ 10 = 3 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 56 | 5992 |
| 90 and 20 | 180 |
| 111 and 35 | 3885 |
| 51 and 57 | 969 |
| 22 and 62 | 682 |