Least Common Multiple (LCM) of 143 and 173
The least common multiple (LCM) of 143 and 173 is 24739.
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 173?
First, calculate the GCD of 143 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 173 = 0 remainder 143 |
| 2 | 173 ÷ 143 = 1 remainder 30 |
| 3 | 143 ÷ 30 = 4 remainder 23 |
| 4 | 30 ÷ 23 = 1 remainder 7 |
| 5 | 23 ÷ 7 = 3 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 86 | 15222 |
| 200 and 79 | 15800 |
| 148 and 113 | 16724 |
| 188 and 21 | 3948 |
| 104 and 69 | 7176 |