Least Common Multiple (LCM) of 92 and 162
The least common multiple (LCM) of 92 and 162 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 92 and 162?
First, calculate the GCD of 92 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 162 = 0 remainder 92 |
| 2 | 162 ÷ 92 = 1 remainder 70 |
| 3 | 92 ÷ 70 = 1 remainder 22 |
| 4 | 70 ÷ 22 = 3 remainder 4 |
| 5 | 22 ÷ 4 = 5 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 74 | 1406 |
| 78 and 37 | 2886 |
| 105 and 181 | 19005 |
| 17 and 29 | 493 |
| 151 and 26 | 3926 |