Least Common Multiple (LCM) of 167 and 47
The least common multiple (LCM) of 167 and 47 is 7849.
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 167 and 47?
First, calculate the GCD of 167 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 47 = 3 remainder 26 |
| 2 | 47 ÷ 26 = 1 remainder 21 |
| 3 | 26 ÷ 21 = 1 remainder 5 |
| 4 | 21 ÷ 5 = 4 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 79 | 15405 |
| 64 and 96 | 192 |
| 166 and 108 | 8964 |
| 81 and 159 | 4293 |
| 20 and 115 | 460 |