Least Common Multiple (LCM) of 139 and 164
The least common multiple (LCM) of 139 and 164 is 22796.
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 164?
First, calculate the GCD of 139 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 164 = 0 remainder 139 |
| 2 | 164 ÷ 139 = 1 remainder 25 |
| 3 | 139 ÷ 25 = 5 remainder 14 |
| 4 | 25 ÷ 14 = 1 remainder 11 |
| 5 | 14 ÷ 11 = 1 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 142 | 12780 |
| 162 and 119 | 19278 |
| 11 and 77 | 77 |
| 43 and 143 | 6149 |
| 158 and 136 | 10744 |