Least Common Multiple (LCM) of 143 and 58
The least common multiple (LCM) of 143 and 58 is 8294.
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 58?
First, calculate the GCD of 143 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 58 = 2 remainder 27 |
| 2 | 58 ÷ 27 = 2 remainder 4 |
| 3 | 27 ÷ 4 = 6 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 49 | 7007 |
| 160 and 138 | 11040 |
| 121 and 45 | 5445 |
| 72 and 150 | 1800 |
| 185 and 61 | 11285 |