Least Common Multiple (LCM) of 162 and 47
The least common multiple (LCM) of 162 and 47 is 7614.
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 47?
First, calculate the GCD of 162 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 47 = 3 remainder 21 |
| 2 | 47 ÷ 21 = 2 remainder 5 |
| 3 | 21 ÷ 5 = 4 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 62 | 9858 |
| 77 and 145 | 11165 |
| 12 and 23 | 276 |
| 121 and 160 | 19360 |
| 198 and 121 | 2178 |