Least Common Multiple (LCM) of 143 and 50
The least common multiple (LCM) of 143 and 50 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 143 and 50?
First, calculate the GCD of 143 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 50 = 2 remainder 43 |
| 2 | 50 ÷ 43 = 1 remainder 7 |
| 3 | 43 ÷ 7 = 6 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 27 | 1755 |
| 173 and 24 | 4152 |
| 45 and 30 | 90 |
| 66 and 62 | 2046 |
| 112 and 63 | 1008 |