Least Common Multiple (LCM) of 143 and 71
The least common multiple (LCM) of 143 and 71 is 10153.
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 71?
First, calculate the GCD of 143 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 71 = 2 remainder 1 |
| 2 | 71 ÷ 1 = 71 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 167 | 20708 |
| 172 and 20 | 860 |
| 148 and 71 | 10508 |
| 173 and 147 | 25431 |
| 145 and 196 | 28420 |