Least Common Multiple (LCM) of 69 and 183
The least common multiple (LCM) of 69 and 183 is 4209.
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 69 and 183?
First, calculate the GCD of 69 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 183 = 0 remainder 69 |
| 2 | 183 ÷ 69 = 2 remainder 45 |
| 3 | 69 ÷ 45 = 1 remainder 24 |
| 4 | 45 ÷ 24 = 1 remainder 21 |
| 5 | 24 ÷ 21 = 1 remainder 3 |
| 6 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 128 | 6272 |
| 33 and 94 | 3102 |
| 107 and 163 | 17441 |
| 111 and 97 | 10767 |
| 116 and 77 | 8932 |