Least Common Multiple (LCM) of 50 and 143
The least common multiple (LCM) of 50 and 143 is 7150.
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 50 and 143?
First, calculate the GCD of 50 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 50 ÷ 143 = 0 remainder 50 |
| 2 | 143 ÷ 50 = 2 remainder 43 |
| 3 | 50 ÷ 43 = 1 remainder 7 |
| 4 | 43 ÷ 7 = 6 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 114 | 19038 |
| 191 and 159 | 30369 |
| 23 and 92 | 92 |
| 136 and 45 | 6120 |
| 34 and 137 | 4658 |