Least Common Multiple (LCM) of 165 and 92
The least common multiple (LCM) of 165 and 92 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 165 and 92?
First, calculate the GCD of 165 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 92 = 1 remainder 73 |
| 2 | 92 ÷ 73 = 1 remainder 19 |
| 3 | 73 ÷ 19 = 3 remainder 16 |
| 4 | 19 ÷ 16 = 1 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 19 | 1653 |
| 29 and 73 | 2117 |
| 23 and 192 | 4416 |
| 60 and 195 | 780 |
| 111 and 24 | 888 |