Least Common Multiple (LCM) of 143 and 34
The least common multiple (LCM) of 143 and 34 is 4862.
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 34?
First, calculate the GCD of 143 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 34 = 4 remainder 7 |
| 2 | 34 ÷ 7 = 4 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 97 | 5626 |
| 160 and 126 | 10080 |
| 135 and 104 | 14040 |
| 150 and 45 | 450 |
| 57 and 166 | 9462 |