Least Common Multiple (LCM) of 92 and 165
The least common multiple (LCM) of 92 and 165 is 15180.
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 92 and 165?
First, calculate the GCD of 92 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 165 = 0 remainder 92 |
| 2 | 165 ÷ 92 = 1 remainder 73 |
| 3 | 92 ÷ 73 = 1 remainder 19 |
| 4 | 73 ÷ 19 = 3 remainder 16 |
| 5 | 19 ÷ 16 = 1 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 38 | 3914 |
| 189 and 185 | 34965 |
| 191 and 74 | 14134 |
| 178 and 121 | 21538 |
| 72 and 67 | 4824 |