Least Common Multiple (LCM) of 143 and 73
The least common multiple (LCM) of 143 and 73 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 143 and 73?
First, calculate the GCD of 143 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 73 = 1 remainder 70 |
| 2 | 73 ÷ 70 = 1 remainder 3 |
| 3 | 70 ÷ 3 = 23 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 35 | 385 |
| 131 and 37 | 4847 |
| 123 and 114 | 4674 |
| 50 and 78 | 1950 |
| 40 and 38 | 760 |