Least Common Multiple (LCM) of 143 and 109
The least common multiple (LCM) of 143 and 109 is 15587.
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 143 and 109?
First, calculate the GCD of 143 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 109 = 1 remainder 34 |
| 2 | 109 ÷ 34 = 3 remainder 7 |
| 3 | 34 ÷ 7 = 4 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 166 | 12450 |
| 173 and 34 | 5882 |
| 37 and 78 | 2886 |
| 40 and 45 | 360 |
| 101 and 83 | 8383 |