Least Common Multiple (LCM) of 26 and 183
The least common multiple (LCM) of 26 and 183 is 4758.
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 26 and 183?
First, calculate the GCD of 26 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 183 = 0 remainder 26 |
| 2 | 183 ÷ 26 = 7 remainder 1 |
| 3 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 69 | 4416 |
| 111 and 76 | 8436 |
| 128 and 114 | 7296 |
| 178 and 67 | 11926 |
| 184 and 18 | 1656 |