Least Common Multiple (LCM) of 143 and 183
The least common multiple (LCM) of 143 and 183 is 26169.
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 183?
First, calculate the GCD of 143 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 183 = 0 remainder 143 |
| 2 | 183 ÷ 143 = 1 remainder 40 |
| 3 | 143 ÷ 40 = 3 remainder 23 |
| 4 | 40 ÷ 23 = 1 remainder 17 |
| 5 | 23 ÷ 17 = 1 remainder 6 |
| 6 | 17 ÷ 6 = 2 remainder 5 |
| 7 | 6 ÷ 5 = 1 remainder 1 |
| 8 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 123 | 6027 |
| 72 and 95 | 6840 |
| 27 and 15 | 135 |
| 61 and 155 | 9455 |
| 30 and 188 | 2820 |