Least Common Multiple (LCM) of 162 and 110
The least common multiple (LCM) of 162 and 110 is 8910.
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 110?
First, calculate the GCD of 162 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 110 = 1 remainder 52 |
| 2 | 110 ÷ 52 = 2 remainder 6 |
| 3 | 52 ÷ 6 = 8 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 42 | 756 |
| 64 and 123 | 7872 |
| 41 and 23 | 943 |
| 172 and 82 | 7052 |
| 158 and 165 | 26070 |