Least Common Multiple (LCM) of 73 and 143
The least common multiple (LCM) of 73 and 143 is 10439.
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 73 and 143?
First, calculate the GCD of 73 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 143 = 0 remainder 73 |
| 2 | 143 ÷ 73 = 1 remainder 70 |
| 3 | 73 ÷ 70 = 1 remainder 3 |
| 4 | 70 ÷ 3 = 23 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 175 | 3850 |
| 145 and 195 | 5655 |
| 136 and 89 | 12104 |
| 62 and 173 | 10726 |
| 189 and 14 | 378 |