Least Common Multiple (LCM) of 139 and 183
The least common multiple (LCM) of 139 and 183 is 25437.
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 183?
First, calculate the GCD of 139 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 183 = 0 remainder 139 |
| 2 | 183 ÷ 139 = 1 remainder 44 |
| 3 | 139 ÷ 44 = 3 remainder 7 |
| 4 | 44 ÷ 7 = 6 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 13 | 2119 |
| 23 and 147 | 3381 |
| 37 and 56 | 2072 |
| 172 and 96 | 4128 |
| 16 and 140 | 560 |