Least Common Multiple (LCM) of 162 and 92
The least common multiple (LCM) of 162 and 92 is 7452.
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 92?
First, calculate the GCD of 162 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 92 = 1 remainder 70 |
| 2 | 92 ÷ 70 = 1 remainder 22 |
| 3 | 70 ÷ 22 = 3 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 190 | 17480 |
| 145 and 43 | 6235 |
| 132 and 113 | 14916 |
| 90 and 77 | 6930 |
| 192 and 96 | 192 |