Least Common Multiple (LCM) of 143 and 85
The least common multiple (LCM) of 143 and 85 is 12155.
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 85?
First, calculate the GCD of 143 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 85 = 1 remainder 58 |
| 2 | 85 ÷ 58 = 1 remainder 27 |
| 3 | 58 ÷ 27 = 2 remainder 4 |
| 4 | 27 ÷ 4 = 6 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 134 | 13132 |
| 182 and 11 | 2002 |
| 153 and 122 | 18666 |
| 182 and 57 | 10374 |
| 27 and 120 | 1080 |