Least Common Multiple (LCM) of 167 and 84
The least common multiple (LCM) of 167 and 84 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 167 and 84?
First, calculate the GCD of 167 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 84 = 1 remainder 83 |
| 2 | 84 ÷ 83 = 1 remainder 1 |
| 3 | 83 ÷ 1 = 83 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 179 | 21838 |
| 177 and 166 | 29382 |
| 168 and 51 | 2856 |
| 138 and 108 | 2484 |
| 139 and 92 | 12788 |