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 |
|---|---|
| 60 and 20 | 60 |
| 143 and 44 | 572 |
| 52 and 83 | 4316 |
| 106 and 66 | 3498 |
| 120 and 141 | 5640 |