Least Common Multiple (LCM) of 143 and 166
The least common multiple (LCM) of 143 and 166 is 23738.
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 166?
First, calculate the GCD of 143 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 166 = 0 remainder 143 |
| 2 | 166 ÷ 143 = 1 remainder 23 |
| 3 | 143 ÷ 23 = 6 remainder 5 |
| 4 | 23 ÷ 5 = 4 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 88 | 792 |
| 22 and 100 | 1100 |
| 73 and 108 | 7884 |
| 73 and 173 | 12629 |
| 22 and 49 | 1078 |