Least Common Multiple (LCM) of 14 and 139
The least common multiple (LCM) of 14 and 139 is 1946.
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 14 and 139?
First, calculate the GCD of 14 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 139 = 0 remainder 14 |
| 2 | 139 ÷ 14 = 9 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 162 | 30942 |
| 11 and 175 | 1925 |
| 139 and 35 | 4865 |
| 172 and 102 | 8772 |
| 122 and 104 | 6344 |