Least Common Multiple (LCM) of 183 and 111
The least common multiple (LCM) of 183 and 111 is 6771.
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 111?
First, calculate the GCD of 183 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 111 = 1 remainder 72 |
| 2 | 111 ÷ 72 = 1 remainder 39 |
| 3 | 72 ÷ 39 = 1 remainder 33 |
| 4 | 39 ÷ 33 = 1 remainder 6 |
| 5 | 33 ÷ 6 = 5 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 188 | 12596 |
| 61 and 124 | 7564 |
| 15 and 79 | 1185 |
| 59 and 13 | 767 |
| 138 and 40 | 2760 |