Least Common Multiple (LCM) of 84 and 167
The least common multiple (LCM) of 84 and 167 is 14028.
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 84 and 167?
First, calculate the GCD of 84 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 167 = 0 remainder 84 |
| 2 | 167 ÷ 84 = 1 remainder 83 |
| 3 | 84 ÷ 83 = 1 remainder 1 |
| 4 | 83 ÷ 1 = 83 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 161 | 20447 |
| 100 and 100 | 100 |
| 133 and 66 | 8778 |
| 181 and 92 | 16652 |
| 191 and 179 | 34189 |