Least Common Multiple (LCM) of 164 and 47
The least common multiple (LCM) of 164 and 47 is 7708.
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 164 and 47?
First, calculate the GCD of 164 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 47 = 3 remainder 23 |
| 2 | 47 ÷ 23 = 2 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 39 | 2145 |
| 193 and 97 | 18721 |
| 112 and 56 | 112 |
| 146 and 48 | 3504 |
| 199 and 17 | 3383 |