Least Common Multiple (LCM) of 143 and 165
The least common multiple (LCM) of 143 and 165 is 2145.
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 165?
First, calculate the GCD of 143 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 165 = 0 remainder 143 |
| 2 | 165 ÷ 143 = 1 remainder 22 |
| 3 | 143 ÷ 22 = 6 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 136 | 3944 |
| 155 and 141 | 21855 |
| 172 and 44 | 1892 |
| 114 and 195 | 7410 |
| 152 and 84 | 3192 |