Least Common Multiple (LCM) of 68 and 183
The least common multiple (LCM) of 68 and 183 is 12444.
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 68 and 183?
First, calculate the GCD of 68 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 183 = 0 remainder 68 |
| 2 | 183 ÷ 68 = 2 remainder 47 |
| 3 | 68 ÷ 47 = 1 remainder 21 |
| 4 | 47 ÷ 21 = 2 remainder 5 |
| 5 | 21 ÷ 5 = 4 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 161 | 23345 |
| 129 and 124 | 15996 |
| 42 and 33 | 462 |
| 185 and 135 | 4995 |
| 16 and 177 | 2832 |