Least Common Multiple (LCM) of 183 and 69
The least common multiple (LCM) of 183 and 69 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 183 and 69?
First, calculate the GCD of 183 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 69 = 2 remainder 45 |
| 2 | 69 ÷ 45 = 1 remainder 24 |
| 3 | 45 ÷ 24 = 1 remainder 21 |
| 4 | 24 ÷ 21 = 1 remainder 3 |
| 5 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 134 | 10452 |
| 60 and 131 | 7860 |
| 159 and 100 | 15900 |
| 159 and 120 | 6360 |
| 67 and 56 | 3752 |