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 |
|---|---|
| 136 and 182 | 12376 |
| 167 and 40 | 6680 |
| 170 and 67 | 11390 |
| 19 and 43 | 817 |
| 115 and 190 | 4370 |