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 |
|---|---|
| 194 and 166 | 16102 |
| 186 and 156 | 4836 |
| 63 and 74 | 4662 |
| 115 and 125 | 2875 |
| 131 and 46 | 6026 |