Least Common Multiple (LCM) of 158 and 143
The least common multiple (LCM) of 158 and 143 is 22594.
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 158 and 143?
First, calculate the GCD of 158 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 143 = 1 remainder 15 |
| 2 | 143 ÷ 15 = 9 remainder 8 |
| 3 | 15 ÷ 8 = 1 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 163 | 25428 |
| 141 and 128 | 18048 |
| 186 and 107 | 19902 |
| 91 and 15 | 1365 |
| 33 and 123 | 1353 |