Least Common Multiple (LCM) of 143 and 170
The least common multiple (LCM) of 143 and 170 is 24310.
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 170?
First, calculate the GCD of 143 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 170 = 0 remainder 143 |
| 2 | 170 ÷ 143 = 1 remainder 27 |
| 3 | 143 ÷ 27 = 5 remainder 8 |
| 4 | 27 ÷ 8 = 3 remainder 3 |
| 5 | 8 ÷ 3 = 2 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 28 | 756 |
| 183 and 150 | 9150 |
| 44 and 112 | 1232 |
| 64 and 47 | 3008 |
| 74 and 47 | 3478 |