Least Common Multiple (LCM) of 162 and 86
The least common multiple (LCM) of 162 and 86 is 6966.
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 86?
First, calculate the GCD of 162 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 86 = 1 remainder 76 |
| 2 | 86 ÷ 76 = 1 remainder 10 |
| 3 | 76 ÷ 10 = 7 remainder 6 |
| 4 | 10 ÷ 6 = 1 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 52 | 3900 |
| 145 and 161 | 23345 |
| 177 and 151 | 26727 |
| 23 and 31 | 713 |
| 53 and 169 | 8957 |