Least Common Multiple (LCM) of 143 and 157
The least common multiple (LCM) of 143 and 157 is 22451.
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 157?
First, calculate the GCD of 143 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 157 = 0 remainder 143 |
| 2 | 157 ÷ 143 = 1 remainder 14 |
| 3 | 143 ÷ 14 = 10 remainder 3 |
| 4 | 14 ÷ 3 = 4 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 124 | 124 |
| 138 and 99 | 4554 |
| 190 and 126 | 11970 |
| 142 and 147 | 20874 |
| 180 and 22 | 1980 |