Least Common Multiple (LCM) of 139 and 39
The least common multiple (LCM) of 139 and 39 is 5421.
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 139 and 39?
First, calculate the GCD of 139 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 39 = 3 remainder 22 |
| 2 | 39 ÷ 22 = 1 remainder 17 |
| 3 | 22 ÷ 17 = 1 remainder 5 |
| 4 | 17 ÷ 5 = 3 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 74 | 1110 |
| 79 and 168 | 13272 |
| 197 and 38 | 7486 |
| 70 and 197 | 13790 |
| 132 and 46 | 3036 |