Least Common Multiple (LCM) of 169 and 183
The least common multiple (LCM) of 169 and 183 is 30927.
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 169 and 183?
First, calculate the GCD of 169 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 183 = 0 remainder 169 |
| 2 | 183 ÷ 169 = 1 remainder 14 |
| 3 | 169 ÷ 14 = 12 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 96 | 1824 |
| 128 and 165 | 21120 |
| 147 and 102 | 4998 |
| 142 and 157 | 22294 |
| 142 and 195 | 27690 |