Least Common Multiple (LCM) of 29 and 183
The least common multiple (LCM) of 29 and 183 is 5307.
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 29 and 183?
First, calculate the GCD of 29 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 183 = 0 remainder 29 |
| 2 | 183 ÷ 29 = 6 remainder 9 |
| 3 | 29 ÷ 9 = 3 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 44 | 2684 |
| 175 and 79 | 13825 |
| 140 and 106 | 7420 |
| 191 and 165 | 31515 |
| 183 and 145 | 26535 |