Least Common Multiple (LCM) of 143 and 182
The least common multiple (LCM) of 143 and 182 is 2002.
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 182?
First, calculate the GCD of 143 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 182 = 0 remainder 143 |
| 2 | 182 ÷ 143 = 1 remainder 39 |
| 3 | 143 ÷ 39 = 3 remainder 26 |
| 4 | 39 ÷ 26 = 1 remainder 13 |
| 5 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 40 | 360 |
| 111 and 188 | 20868 |
| 38 and 162 | 3078 |
| 59 and 88 | 5192 |
| 91 and 143 | 1001 |