Least Common Multiple (LCM) of 138 and 183
The least common multiple (LCM) of 138 and 183 is 8418.
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 138 and 183?
First, calculate the GCD of 138 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 183 = 0 remainder 138 |
| 2 | 183 ÷ 138 = 1 remainder 45 |
| 3 | 138 ÷ 45 = 3 remainder 3 |
| 4 | 45 ÷ 3 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 51 | 8160 |
| 51 and 172 | 8772 |
| 95 and 39 | 3705 |
| 60 and 43 | 2580 |
| 79 and 110 | 8690 |