Least Common Multiple (LCM) of 43 and 143
The least common multiple (LCM) of 43 and 143 is 6149.
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 43 and 143?
First, calculate the GCD of 43 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 143 = 0 remainder 43 |
| 2 | 143 ÷ 43 = 3 remainder 14 |
| 3 | 43 ÷ 14 = 3 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 147 | 4704 |
| 106 and 121 | 12826 |
| 154 and 13 | 2002 |
| 158 and 83 | 13114 |
| 178 and 155 | 27590 |