Least Common Multiple (LCM) of 162 and 176
The least common multiple (LCM) of 162 and 176 is 14256.
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 176?
First, calculate the GCD of 162 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 176 = 0 remainder 162 |
| 2 | 176 ÷ 162 = 1 remainder 14 |
| 3 | 162 ÷ 14 = 11 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 121 | 121 |
| 60 and 99 | 1980 |
| 109 and 197 | 21473 |
| 78 and 42 | 546 |
| 67 and 22 | 1474 |