Least Common Multiple (LCM) of 162 and 173
The least common multiple (LCM) of 162 and 173 is 28026.
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 173?
First, calculate the GCD of 162 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 173 = 0 remainder 162 |
| 2 | 173 ÷ 162 = 1 remainder 11 |
| 3 | 162 ÷ 11 = 14 remainder 8 |
| 4 | 11 ÷ 8 = 1 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 |
|---|---|
| 183 and 35 | 6405 |
| 141 and 114 | 5358 |
| 185 and 72 | 13320 |
| 53 and 143 | 7579 |
| 105 and 117 | 4095 |