Least Common Multiple (LCM) of 162 and 143
The least common multiple (LCM) of 162 and 143 is 23166.
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 162 and 143?
First, calculate the GCD of 162 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 143 = 1 remainder 19 |
| 2 | 143 ÷ 19 = 7 remainder 10 |
| 3 | 19 ÷ 10 = 1 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 64 | 1728 |
| 161 and 86 | 13846 |
| 182 and 63 | 1638 |
| 187 and 72 | 13464 |
| 196 and 77 | 2156 |