Least Common Multiple (LCM) of 143 and 186
The least common multiple (LCM) of 143 and 186 is 26598.
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 186?
First, calculate the GCD of 143 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 186 = 0 remainder 143 |
| 2 | 186 ÷ 143 = 1 remainder 43 |
| 3 | 143 ÷ 43 = 3 remainder 14 |
| 4 | 43 ÷ 14 = 3 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 159 | 9699 |
| 122 and 110 | 6710 |
| 147 and 15 | 735 |
| 10 and 11 | 110 |
| 100 and 56 | 1400 |