Least Common Multiple (LCM) of 143 and 56
The least common multiple (LCM) of 143 and 56 is 8008.
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 56?
First, calculate the GCD of 143 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 56 = 2 remainder 31 |
| 2 | 56 ÷ 31 = 1 remainder 25 |
| 3 | 31 ÷ 25 = 1 remainder 6 |
| 4 | 25 ÷ 6 = 4 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 68 | 2788 |
| 140 and 28 | 140 |
| 108 and 140 | 3780 |
| 104 and 75 | 7800 |
| 167 and 127 | 21209 |