Least Common Multiple (LCM) of 183 and 138
The least common multiple (LCM) of 183 and 138 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 183 and 138?
First, calculate the GCD of 183 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 138 = 1 remainder 45 |
| 2 | 138 ÷ 45 = 3 remainder 3 |
| 3 | 45 ÷ 3 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 107 | 13161 |
| 163 and 80 | 13040 |
| 19 and 158 | 3002 |
| 125 and 120 | 3000 |
| 147 and 119 | 2499 |