Least Common Multiple (LCM) of 84 and 82
The least common multiple (LCM) of 84 and 82 is 3444.
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 82?
First, calculate the GCD of 84 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 84 ÷ 82 = 1 remainder 2 |
| 2 | 82 ÷ 2 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 194 | 12028 |
| 162 and 41 | 6642 |
| 108 and 145 | 15660 |
| 168 and 114 | 3192 |
| 142 and 85 | 12070 |